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Simplifying (4x + 5)(5x + -2) = 0 Reorder the terms: (5 + 4x)(5x + -2) = 0 Reorder the terms: (5 + 4x)(-2 + 5x) = 0 Multiply (5 + 4x) * (-2 + 5x) (5(-2 + 5x) + 4x * (-2 + 5x)) = 0 ((-2 * 5 + 5x * 5) + 4x * (-2 + 5x)) = 0 ((-10 + 25x) + 4x * (-2 + 5x)) = 0 (-10 + 25x + (-2 * 4x + 5x * 4x)) = 0 (-10 + 25x + (-8x + 20x2)) = 0 Combine like terms: 25x + -8x = 17x (-10 + 17x + 20x2) = 0 Solving -10 + 17x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -4x)(2 + -5x) = 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 '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-1.25, 0.4}
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