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Simplifying (4x + 4)(7x + -3) = 0 Reorder the terms: (4 + 4x)(7x + -3) = 0 Reorder the terms: (4 + 4x)(-3 + 7x) = 0 Multiply (4 + 4x) * (-3 + 7x) (4(-3 + 7x) + 4x * (-3 + 7x)) = 0 ((-3 * 4 + 7x * 4) + 4x * (-3 + 7x)) = 0 ((-12 + 28x) + 4x * (-3 + 7x)) = 0 (-12 + 28x + (-3 * 4x + 7x * 4x)) = 0 (-12 + 28x + (-12x + 28x2)) = 0 Combine like terms: 28x + -12x = 16x (-12 + 16x + 28x2) = 0 Solving -12 + 16x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + 4x + 7x2) = 0 Factor a trinomial. 4((-1 + -1x)(3 + -7x)) = 0 Ignore the factor 4.Subproblem 1
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 = -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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