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Simplifying (5x + -4)(2x + -3) = 0 Reorder the terms: (-4 + 5x)(2x + -3) = 0 Reorder the terms: (-4 + 5x)(-3 + 2x) = 0 Multiply (-4 + 5x) * (-3 + 2x) (-4(-3 + 2x) + 5x * (-3 + 2x)) = 0 ((-3 * -4 + 2x * -4) + 5x * (-3 + 2x)) = 0 ((12 + -8x) + 5x * (-3 + 2x)) = 0 (12 + -8x + (-3 * 5x + 2x * 5x)) = 0 (12 + -8x + (-15x + 10x2)) = 0 Combine like terms: -8x + -15x = -23x (12 + -23x + 10x2) = 0 Solving 12 + -23x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -5x)(3 + -2x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0.8, 1.5}
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