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Answer :
Let's find the standard form of the equation [tex]\( -27 = -10x - 7x^2 \)[/tex].
The standard form of a quadratic equation is usually written as [tex]\( ax^2 + bx + c = 0 \)[/tex].
To convert the given equation into standard form, we need to set one side of the equation to zero.
1. Start with the given equation:
[tex]\[
-27 = -10x - 7x^2
\][/tex]
2. To get zero on one side, add 27 to both sides of the equation:
[tex]\[
0 = -10x - 7x^2 + 27
\][/tex]
3. Rearrange the terms to match the standard form [tex]\( ax^2 + bx + c = 0 \)[/tex]:
[tex]\[
-7x^2 - 10x - 27 = 0
\][/tex]
Now, we have the equation in standard form:
[tex]\[
-7x^2 - 10x - 27 = 0
\][/tex]
Therefore, the standard form of the given equation is [tex]\( -7x^2 - 10x - 27 = 0 \)[/tex].
The standard form of a quadratic equation is usually written as [tex]\( ax^2 + bx + c = 0 \)[/tex].
To convert the given equation into standard form, we need to set one side of the equation to zero.
1. Start with the given equation:
[tex]\[
-27 = -10x - 7x^2
\][/tex]
2. To get zero on one side, add 27 to both sides of the equation:
[tex]\[
0 = -10x - 7x^2 + 27
\][/tex]
3. Rearrange the terms to match the standard form [tex]\( ax^2 + bx + c = 0 \)[/tex]:
[tex]\[
-7x^2 - 10x - 27 = 0
\][/tex]
Now, we have the equation in standard form:
[tex]\[
-7x^2 - 10x - 27 = 0
\][/tex]
Therefore, the standard form of the given equation is [tex]\( -7x^2 - 10x - 27 = 0 \)[/tex].
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