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Simplifying (2x + 4)(x + -3) + -5(x + -3) = 0 Reorder the terms: (4 + 2x)(x + -3) + -5(x + -3) = 0 Reorder the terms: (4 + 2x)(-3 + x) + -5(x + -3) = 0 Multiply (4 + 2x) * (-3 + x) (4(-3 + x) + 2x * (-3 + x)) + -5(x + -3) = 0 ((-3 * 4 + x * 4) + 2x * (-3 + x)) + -5(x + -3) = 0 ((-12 + 4x) + 2x * (-3 + x)) + -5(x + -3) = 0 (-12 + 4x + (-3 * 2x + x * 2x)) + -5(x + -3) = 0 (-12 + 4x + (-6x + 2x2)) + -5(x + -3) = 0 Combine like terms: 4x + -6x = -2x (-12 + -2x + 2x2) + -5(x + -3) = 0 Reorder the terms: -12 + -2x + 2x2 + -5(-3 + x) = 0 -12 + -2x + 2x2 + (-3 * -5 + x * -5) = 0 -12 + -2x + 2x2 + (15 + -5x) = 0 Reorder the terms: -12 + 15 + -2x + -5x + 2x2 = 0 Combine like terms: -12 + 15 = 3 3 + -2x + -5x + 2x2 = 0 Combine like terms: -2x + -5x = -7x 3 + -7x + 2x2 = 0 Solving 3 + -7x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -2x)(3 + -1x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 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 = {0.5, 3}
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