-33x^2-144x-135=0

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Solution for -33x^2-144x-135=0 equation:


Simplifying
-33x2 + -144x + -135 = 0

Reorder the terms:
-135 + -144x + -33x2 = 0

Solving
-135 + -144x + -33x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(45 + 48x + 11x2) = 0

Factor a trinomial.
-3((3 + x)(15 + 11x)) = 0

Ignore the factor -3.

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(15 + 11x)' equal to zero and attempt to solve: Simplifying 15 + 11x = 0 Solving 15 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 11x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 11x = 0 + -15 11x = 0 + -15 Combine like terms: 0 + -15 = -15 11x = -15 Divide each side by '11'. x = -1.363636364 Simplifying x = -1.363636364

Solution

x = {-3, -1.363636364}

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