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Simplifying (7x + 3)(4x + 4) = 0 Reorder the terms: (3 + 7x)(4x + 4) = 0 Reorder the terms: (3 + 7x)(4 + 4x) = 0 Multiply (3 + 7x) * (4 + 4x) (3(4 + 4x) + 7x * (4 + 4x)) = 0 ((4 * 3 + 4x * 3) + 7x * (4 + 4x)) = 0 ((12 + 12x) + 7x * (4 + 4x)) = 0 (12 + 12x + (4 * 7x + 4x * 7x)) = 0 (12 + 12x + (28x + 28x2)) = 0 Combine like terms: 12x + 28x = 40x (12 + 40x + 28x2) = 0 Solving 12 + 40x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(3 + 10x + 7x2) = 0 Factor a trinomial. 4((1 + x)(3 + 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 '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286Solution
x = {-1, -0.4285714286}
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