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Simplifying (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 = -27x (10 + -27x + -28x2) = 0 Solving 10 + -27x + -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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