154=x^2+15x

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Solution for 154=x^2+15x equation:


Simplifying
154 = x2 + 15x

Reorder the terms:
154 = 15x + x2

Solving
154 = 15x + x2

Solving for variable 'x'.

Reorder the terms:
154 + -15x + -1x2 = 15x + -15x + x2 + -1x2

Combine like terms: 15x + -15x = 0
154 + -15x + -1x2 = 0 + x2 + -1x2
154 + -15x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
154 + -15x + -1x2 = 0

Factor a trinomial.
(7 + -1x)(22 + x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(22 + x)' equal to zero and attempt to solve: Simplifying 22 + x = 0 Solving 22 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + x = 0 + -22 x = 0 + -22 Combine like terms: 0 + -22 = -22 x = -22 Simplifying x = -22

Solution

x = {7, -22}

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