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Simplifying (2x + 11)(5x + -12) = 0 Reorder the terms: (11 + 2x)(5x + -12) = 0 Reorder the terms: (11 + 2x)(-12 + 5x) = 0 Multiply (11 + 2x) * (-12 + 5x) (11(-12 + 5x) + 2x * (-12 + 5x)) = 0 ((-12 * 11 + 5x * 11) + 2x * (-12 + 5x)) = 0 ((-132 + 55x) + 2x * (-12 + 5x)) = 0 (-132 + 55x + (-12 * 2x + 5x * 2x)) = 0 (-132 + 55x + (-24x + 10x2)) = 0 Combine like terms: 55x + -24x = 31x (-132 + 31x + 10x2) = 0 Solving -132 + 31x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -2x)(12 + -5x) = 0Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(12 + -5x)' equal to zero and attempt to solve: Simplifying 12 + -5x = 0 Solving 12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4Solution
x = {-5.5, 2.4}
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