(x*x)=8-7x

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Solution for (x*x)=8-7x equation:


Simplifying
(x * x) = 8 + -7x

Multiply x * x
(x2) = 8 + -7x
x2 = 8 + -7x

Solving
x2 = 8 + -7x

Solving for variable 'x'.

Reorder the terms:
-8 + 7x + x2 = 8 + -7x + -8 + 7x

Reorder the terms:
-8 + 7x + x2 = 8 + -8 + -7x + 7x

Combine like terms: 8 + -8 = 0
-8 + 7x + x2 = 0 + -7x + 7x
-8 + 7x + x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + 7x + x2 = 0

Factor a trinomial.
(-8 + -1x)(1 + -1x) = 0

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {-8, 1}

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