4x^2+61x+180=0

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Solution for 4x^2+61x+180=0 equation:


Simplifying
4x2 + 61x + 180 = 0

Reorder the terms:
180 + 61x + 4x2 = 0

Solving
180 + 61x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(45 + 4x)(4 + x) = 0

Subproblem 1

Set the factor '(45 + 4x)' equal to zero and attempt to solve: Simplifying 45 + 4x = 0 Solving 45 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 4x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 0 + -45 4x = 0 + -45 Combine like terms: 0 + -45 = -45 4x = -45 Divide each side by '4'. x = -11.25 Simplifying x = -11.25

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {-11.25, -4}

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