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Answer :
Sure! Let's work through the problem step by step to find the standard form of the given equation.
The equation you have is:
[tex]\[ -27 = -10x - 7x^2 \][/tex]
To express this in standard form, which is [tex]\( ax^2 + bx + c = 0 \)[/tex], we need to rearrange the terms.
1. Move all terms to one side of the equation:
Start by adding [tex]\( 10x + 7x^2 \)[/tex] to both sides to bring all the terms to one side:
[tex]\[ -27 + 10x + 7x^2 = 0 \][/tex]
2. Reorder the terms:
Now, arrange the terms in descending order of the powers of [tex]\( x \)[/tex]:
[tex]\[ 7x^2 + 10x - 27 = 0 \][/tex]
This is the standard form of the equation, following the format [tex]\( ax^2 + bx + c = 0 \)[/tex].
Therefore, the correct answer is:
[tex]\[ 7x^2 + 10x - 27 = 0 \][/tex]
The equation you have is:
[tex]\[ -27 = -10x - 7x^2 \][/tex]
To express this in standard form, which is [tex]\( ax^2 + bx + c = 0 \)[/tex], we need to rearrange the terms.
1. Move all terms to one side of the equation:
Start by adding [tex]\( 10x + 7x^2 \)[/tex] to both sides to bring all the terms to one side:
[tex]\[ -27 + 10x + 7x^2 = 0 \][/tex]
2. Reorder the terms:
Now, arrange the terms in descending order of the powers of [tex]\( x \)[/tex]:
[tex]\[ 7x^2 + 10x - 27 = 0 \][/tex]
This is the standard form of the equation, following the format [tex]\( ax^2 + bx + c = 0 \)[/tex].
Therefore, the correct answer is:
[tex]\[ 7x^2 + 10x - 27 = 0 \][/tex]
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