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Simplifying (4x + -4)(7x + 1) = 0 Reorder the terms: (-4 + 4x)(7x + 1) = 0 Reorder the terms: (-4 + 4x)(1 + 7x) = 0 Multiply (-4 + 4x) * (1 + 7x) (-4(1 + 7x) + 4x * (1 + 7x)) = 0 ((1 * -4 + 7x * -4) + 4x * (1 + 7x)) = 0 ((-4 + -28x) + 4x * (1 + 7x)) = 0 (-4 + -28x + (1 * 4x + 7x * 4x)) = 0 (-4 + -28x + (4x + 28x2)) = 0 Combine like terms: -28x + 4x = -24x (-4 + -24x + 28x2) = 0 Solving -4 + -24x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -6x + 7x2) = 0 Factor a trinomial. 4((-1 + -7x)(1 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -7x)' equal to zero and attempt to solve: Simplifying -1 + -7x = 0 Solving -1 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.1428571429, 1}
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