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Simplifying (4x + -5)(1 + x) = 0 Reorder the terms: (-5 + 4x)(1 + x) = 0 Multiply (-5 + 4x) * (1 + x) (-5(1 + x) + 4x * (1 + x)) = 0 ((1 * -5 + x * -5) + 4x * (1 + x)) = 0 ((-5 + -5x) + 4x * (1 + x)) = 0 (-5 + -5x + (1 * 4x + x * 4x)) = 0 (-5 + -5x + (4x + 4x2)) = 0 Combine like terms: -5x + 4x = -1x (-5 + -1x + 4x2) = 0 Solving -5 + -1x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(5 + -4x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
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 = 1.25Solution
x = {-1, 1.25}
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