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Simplifying -1(x + 4)(5x + -3) = 0 Reorder the terms: -1(4 + x)(5x + -3) = 0 Reorder the terms: -1(4 + x)(-3 + 5x) = 0 Multiply (4 + x) * (-3 + 5x) -1(4(-3 + 5x) + x(-3 + 5x)) = 0 -1((-3 * 4 + 5x * 4) + x(-3 + 5x)) = 0 -1((-12 + 20x) + x(-3 + 5x)) = 0 -1(-12 + 20x + (-3 * x + 5x * x)) = 0 -1(-12 + 20x + (-3x + 5x2)) = 0 Combine like terms: 20x + -3x = 17x -1(-12 + 17x + 5x2) = 0 (-12 * -1 + 17x * -1 + 5x2 * -1) = 0 (12 + -17x + -5x2) = 0 Solving 12 + -17x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(4 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0.6, -4}
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