x^2+140x+675=0

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Solution for x^2+140x+675=0 equation:


Simplifying
x2 + 140x + 675 = 0

Reorder the terms:
675 + 140x + x2 = 0

Solving
675 + 140x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(135 + x)(5 + x) = 0

Subproblem 1

Set the factor '(135 + x)' equal to zero and attempt to solve: Simplifying 135 + x = 0 Solving 135 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-135' to each side of the equation. 135 + -135 + x = 0 + -135 Combine like terms: 135 + -135 = 0 0 + x = 0 + -135 x = 0 + -135 Combine like terms: 0 + -135 = -135 x = -135 Simplifying x = -135

Subproblem 2

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {-135, -5}

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