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Simplifying (2x2 + -4x)(7x + 2) = 0 Reorder the terms: (-4x + 2x2)(7x + 2) = 0 Reorder the terms: (-4x + 2x2)(2 + 7x) = 0 Multiply (-4x + 2x2) * (2 + 7x) (-4x * (2 + 7x) + 2x2 * (2 + 7x)) = 0 ((2 * -4x + 7x * -4x) + 2x2 * (2 + 7x)) = 0 ((-8x + -28x2) + 2x2 * (2 + 7x)) = 0 (-8x + -28x2 + (2 * 2x2 + 7x * 2x2)) = 0 (-8x + -28x2 + (4x2 + 14x3)) = 0 Combine like terms: -28x2 + 4x2 = -24x2 (-8x + -24x2 + 14x3) = 0 Solving -8x + -24x2 + 14x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-4 + -12x + 7x2) = 0 Factor a trinomial. 2x((-2 + -7x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
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 3
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 = 2Solution
x = {0, -0.2857142857, 2}
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