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Simplifying (4x + 5)(x + -4) = 0 Reorder the terms: (5 + 4x)(x + -4) = 0 Reorder the terms: (5 + 4x)(-4 + x) = 0 Multiply (5 + 4x) * (-4 + x) (5(-4 + x) + 4x * (-4 + x)) = 0 ((-4 * 5 + x * 5) + 4x * (-4 + x)) = 0 ((-20 + 5x) + 4x * (-4 + x)) = 0 (-20 + 5x + (-4 * 4x + x * 4x)) = 0 (-20 + 5x + (-16x + 4x2)) = 0 Combine like terms: 5x + -16x = -11x (-20 + -11x + 4x2) = 0 Solving -20 + -11x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -4x)(4 + -1x) = 0Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25Subproblem 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 = {-1.25, 4}
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