x^2=-2x+63

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Solution for x^2=-2x+63 equation:


Simplifying
x2 = -2x + 63

Reorder the terms:
x2 = 63 + -2x

Solving
x2 = 63 + -2x

Solving for variable 'x'.

Reorder the terms:
-63 + 2x + x2 = 63 + -2x + -63 + 2x

Reorder the terms:
-63 + 2x + x2 = 63 + -63 + -2x + 2x

Combine like terms: 63 + -63 = 0
-63 + 2x + x2 = 0 + -2x + 2x
-63 + 2x + x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-63 + 2x + x2 = 0

Factor a trinomial.
(-9 + -1x)(7 + -1x) = 0

Subproblem 1

Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-9, 7}

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