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Simplifying (2x + -5)(5x + -2) = 0 Reorder the terms: (-5 + 2x)(5x + -2) = 0 Reorder the terms: (-5 + 2x)(-2 + 5x) = 0 Multiply (-5 + 2x) * (-2 + 5x) (-5(-2 + 5x) + 2x * (-2 + 5x)) = 0 ((-2 * -5 + 5x * -5) + 2x * (-2 + 5x)) = 0 ((10 + -25x) + 2x * (-2 + 5x)) = 0 (10 + -25x + (-2 * 2x + 5x * 2x)) = 0 (10 + -25x + (-4x + 10x2)) = 0 Combine like terms: -25x + -4x = -29x (10 + -29x + 10x2) = 0 Solving 10 + -29x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -5x)(5 + -2x) = 0Subproblem 1
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 = 0.4Subproblem 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 = {0.4, 2.5}
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