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Simplifying (7x + -2)(4x + -5) = 0 Reorder the terms: (-2 + 7x)(4x + -5) = 0 Reorder the terms: (-2 + 7x)(-5 + 4x) = 0 Multiply (-2 + 7x) * (-5 + 4x) (-2(-5 + 4x) + 7x * (-5 + 4x)) = 0 ((-5 * -2 + 4x * -2) + 7x * (-5 + 4x)) = 0 ((10 + -8x) + 7x * (-5 + 4x)) = 0 (10 + -8x + (-5 * 7x + 4x * 7x)) = 0 (10 + -8x + (-35x + 28x2)) = 0 Combine like terms: -8x + -35x = -43x (10 + -43x + 28x2) = 0 Solving 10 + -43x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -7x)(5 + -4x) = 0Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Subproblem 2
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 = 1.25Solution
x = {0.2857142857, 1.25}
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