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Simplifying (5x + 2)(x + -5) = 0 Reorder the terms: (2 + 5x)(x + -5) = 0 Reorder the terms: (2 + 5x)(-5 + x) = 0 Multiply (2 + 5x) * (-5 + x) (2(-5 + x) + 5x * (-5 + x)) = 0 ((-5 * 2 + x * 2) + 5x * (-5 + x)) = 0 ((-10 + 2x) + 5x * (-5 + x)) = 0 (-10 + 2x + (-5 * 5x + x * 5x)) = 0 (-10 + 2x + (-25x + 5x2)) = 0 Combine like terms: 2x + -25x = -23x (-10 + -23x + 5x2) = 0 Solving -10 + -23x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -5x)(5 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-0.4, 5}
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