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Simplifying (4x + 8)(7x + 3) = 0 Reorder the terms: (8 + 4x)(7x + 3) = 0 Reorder the terms: (8 + 4x)(3 + 7x) = 0 Multiply (8 + 4x) * (3 + 7x) (8(3 + 7x) + 4x * (3 + 7x)) = 0 ((3 * 8 + 7x * 8) + 4x * (3 + 7x)) = 0 ((24 + 56x) + 4x * (3 + 7x)) = 0 (24 + 56x + (3 * 4x + 7x * 4x)) = 0 (24 + 56x + (12x + 28x2)) = 0 Combine like terms: 56x + 12x = 68x (24 + 68x + 28x2) = 0 Solving 24 + 68x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(6 + 17x + 7x2) = 0 Factor a trinomial. 4((2 + x)(3 + 7x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 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 = {-2, -0.4285714286}
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