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Simplifying (7x + -2)(4x + -6) = 0 Reorder the terms: (-2 + 7x)(4x + -6) = 0 Reorder the terms: (-2 + 7x)(-6 + 4x) = 0 Multiply (-2 + 7x) * (-6 + 4x) (-2(-6 + 4x) + 7x * (-6 + 4x)) = 0 ((-6 * -2 + 4x * -2) + 7x * (-6 + 4x)) = 0 ((12 + -8x) + 7x * (-6 + 4x)) = 0 (12 + -8x + (-6 * 7x + 4x * 7x)) = 0 (12 + -8x + (-42x + 28x2)) = 0 Combine like terms: -8x + -42x = -50x (12 + -50x + 28x2) = 0 Solving 12 + -50x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -25x + 14x2) = 0 Factor a trinomial. 2((2 + -7x)(3 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0.2857142857, 1.5}
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