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Simplifying 7x(x + 2) + -4(x + 2) = 0 Reorder the terms: 7x(2 + x) + -4(x + 2) = 0 (2 * 7x + x * 7x) + -4(x + 2) = 0 (14x + 7x2) + -4(x + 2) = 0 Reorder the terms: 14x + 7x2 + -4(2 + x) = 0 14x + 7x2 + (2 * -4 + x * -4) = 0 14x + 7x2 + (-8 + -4x) = 0 Reorder the terms: -8 + 14x + -4x + 7x2 = 0 Combine like terms: 14x + -4x = 10x -8 + 10x + 7x2 = 0 Solving -8 + 10x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(4 + -7x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 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 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {-2, 0.5714285714}
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