x^2=8x+240

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Solution for x^2=8x+240 equation:


Simplifying
x2 = 8x + 240

Reorder the terms:
x2 = 240 + 8x

Solving
x2 = 240 + 8x

Solving for variable 'x'.

Reorder the terms:
-240 + -8x + x2 = 240 + 8x + -240 + -8x

Reorder the terms:
-240 + -8x + x2 = 240 + -240 + 8x + -8x

Combine like terms: 240 + -240 = 0
-240 + -8x + x2 = 0 + 8x + -8x
-240 + -8x + x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-240 + -8x + x2 = 0

Factor a trinomial.
(-12 + -1x)(20 + -1x) = 0

Subproblem 1

Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12

Subproblem 2

Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20

Solution

x = {-12, 20}

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