x(x+8)=153

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Solution for x(x+8)=153 equation:


Simplifying
x(x + 8) = 153

Reorder the terms:
x(8 + x) = 153
(8 * x + x * x) = 153
(8x + x2) = 153

Solving
8x + x2 = 153

Solving for variable 'x'.

Reorder the terms:
-153 + 8x + x2 = 153 + -153

Combine like terms: 153 + -153 = 0
-153 + 8x + x2 = 0

Factor a trinomial.
(-17 + -1x)(9 + -1x) = 0

Subproblem 1

Set the factor '(-17 + -1x)' equal to zero and attempt to solve: Simplifying -17 + -1x = 0 Solving -17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17

Subproblem 2

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

Solution

x = {-17, 9}

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