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Simplifying (4x + 4)(7x + 4) = 0 Reorder the terms: (4 + 4x)(7x + 4) = 0 Reorder the terms: (4 + 4x)(4 + 7x) = 0 Multiply (4 + 4x) * (4 + 7x) (4(4 + 7x) + 4x * (4 + 7x)) = 0 ((4 * 4 + 7x * 4) + 4x * (4 + 7x)) = 0 ((16 + 28x) + 4x * (4 + 7x)) = 0 (16 + 28x + (4 * 4x + 7x * 4x)) = 0 (16 + 28x + (16x + 28x2)) = 0 Combine like terms: 28x + 16x = 44x (16 + 44x + 28x2) = 0 Solving 16 + 44x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + 11x + 7x2) = 0 Factor a trinomial. 4((1 + x)(4 + 7x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 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 = {-1, -0.5714285714}
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