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Simplifying (x + -4)(7x + 2) = 0 Reorder the terms: (-4 + x)(7x + 2) = 0 Reorder the terms: (-4 + x)(2 + 7x) = 0 Multiply (-4 + x) * (2 + 7x) (-4(2 + 7x) + x(2 + 7x)) = 0 ((2 * -4 + 7x * -4) + x(2 + 7x)) = 0 ((-8 + -28x) + x(2 + 7x)) = 0 (-8 + -28x + (2 * x + 7x * x)) = 0 (-8 + -28x + (2x + 7x2)) = 0 Combine like terms: -28x + 2x = -26x (-8 + -26x + 7x2) = 0 Solving -8 + -26x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -7x)(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-0.2857142857, 4}
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