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Simplifying (-12 + x)(3x + 5) = 0 Reorder the terms: (-12 + x)(5 + 3x) = 0 Multiply (-12 + x) * (5 + 3x) (-12(5 + 3x) + x(5 + 3x)) = 0 ((5 * -12 + 3x * -12) + x(5 + 3x)) = 0 ((-60 + -36x) + x(5 + 3x)) = 0 (-60 + -36x + (5 * x + 3x * x)) = 0 (-60 + -36x + (5x + 3x2)) = 0 Combine like terms: -36x + 5x = -31x (-60 + -31x + 3x2) = 0 Solving -60 + -31x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -3x)(12 + -1x) = 0Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 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 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 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 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-1.666666667, 12}
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