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Simplifying (5x + 12)(x + -3) = 0 Reorder the terms: (12 + 5x)(x + -3) = 0 Reorder the terms: (12 + 5x)(-3 + x) = 0 Multiply (12 + 5x) * (-3 + x) (12(-3 + x) + 5x * (-3 + x)) = 0 ((-3 * 12 + x * 12) + 5x * (-3 + x)) = 0 ((-36 + 12x) + 5x * (-3 + x)) = 0 (-36 + 12x + (-3 * 5x + x * 5x)) = 0 (-36 + 12x + (-15x + 5x2)) = 0 Combine like terms: 12x + -15x = -3x (-36 + -3x + 5x2) = 0 Solving -36 + -3x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-12 + -5x)(3 + -1x) = 0Subproblem 1
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 = -2.4Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-2.4, 3}
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