x^2=-2x+48

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Solution for x^2=-2x+48 equation:


Simplifying
x2 = -2x + 48

Reorder the terms:
x2 = 48 + -2x

Solving
x2 = 48 + -2x

Solving for variable 'x'.

Reorder the terms:
-48 + 2x + x2 = 48 + -2x + -48 + 2x

Reorder the terms:
-48 + 2x + x2 = 48 + -48 + -2x + 2x

Combine like terms: 48 + -48 = 0
-48 + 2x + x2 = 0 + -2x + 2x
-48 + 2x + x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-48 + 2x + x2 = 0

Factor a trinomial.
(-8 + -1x)(6 + -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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {-8, 6}

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