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Simplifying 2(2x + -3)(7x + 4) = 0 Reorder the terms: 2(-3 + 2x)(7x + 4) = 0 Reorder the terms: 2(-3 + 2x)(4 + 7x) = 0 Multiply (-3 + 2x) * (4 + 7x) 2(-3(4 + 7x) + 2x * (4 + 7x)) = 0 2((4 * -3 + 7x * -3) + 2x * (4 + 7x)) = 0 2((-12 + -21x) + 2x * (4 + 7x)) = 0 2(-12 + -21x + (4 * 2x + 7x * 2x)) = 0 2(-12 + -21x + (8x + 14x2)) = 0 Combine like terms: -21x + 8x = -13x 2(-12 + -13x + 14x2) = 0 (-12 * 2 + -13x * 2 + 14x2 * 2) = 0 (-24 + -26x + 28x2) = 0 Solving -24 + -26x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + -13x + 14x2) = 0 Factor a trinomial. 2((-4 + -7x)(3 + -2x)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.5714285714Subproblem 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 = {-0.5714285714, 1.5}
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