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Simplifying (5x + -2)(2x + -7) = 0 Reorder the terms: (-2 + 5x)(2x + -7) = 0 Reorder the terms: (-2 + 5x)(-7 + 2x) = 0 Multiply (-2 + 5x) * (-7 + 2x) (-2(-7 + 2x) + 5x * (-7 + 2x)) = 0 ((-7 * -2 + 2x * -2) + 5x * (-7 + 2x)) = 0 ((14 + -4x) + 5x * (-7 + 2x)) = 0 (14 + -4x + (-7 * 5x + 2x * 5x)) = 0 (14 + -4x + (-35x + 10x2)) = 0 Combine like terms: -4x + -35x = -39x (14 + -39x + 10x2) = 0 Solving 14 + -39x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -5x)(7 + -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 '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {0.4, 3.5}
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