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Simplifying (x + -4)(5x + -3) = 0 Reorder the terms: (-4 + x)(5x + -3) = 0 Reorder the terms: (-4 + x)(-3 + 5x) = 0 Multiply (-4 + x) * (-3 + 5x) (-4(-3 + 5x) + x(-3 + 5x)) = 0 ((-3 * -4 + 5x * -4) + x(-3 + 5x)) = 0 ((12 + -20x) + x(-3 + 5x)) = 0 (12 + -20x + (-3 * x + 5x * x)) = 0 (12 + -20x + (-3x + 5x2)) = 0 Combine like terms: -20x + -3x = -23x (12 + -23x + 5x2) = 0 Solving 12 + -23x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0.6, 4}
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