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Simplifying (x + 4)(2x + -5) = 0 Reorder the terms: (4 + x)(2x + -5) = 0 Reorder the terms: (4 + x)(-5 + 2x) = 0 Multiply (4 + x) * (-5 + 2x) (4(-5 + 2x) + x(-5 + 2x)) = 0 ((-5 * 4 + 2x * 4) + x(-5 + 2x)) = 0 ((-20 + 8x) + x(-5 + 2x)) = 0 (-20 + 8x + (-5 * x + 2x * x)) = 0 (-20 + 8x + (-5x + 2x2)) = 0 Combine like terms: 8x + -5x = 3x (-20 + 3x + 2x2) = 0 Solving -20 + 3x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(5 + -2x) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-4, 2.5}
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