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Simplifying (4x + 3)(7x + -2) = 0 Reorder the terms: (3 + 4x)(7x + -2) = 0 Reorder the terms: (3 + 4x)(-2 + 7x) = 0 Multiply (3 + 4x) * (-2 + 7x) (3(-2 + 7x) + 4x * (-2 + 7x)) = 0 ((-2 * 3 + 7x * 3) + 4x * (-2 + 7x)) = 0 ((-6 + 21x) + 4x * (-2 + 7x)) = 0 (-6 + 21x + (-2 * 4x + 7x * 4x)) = 0 (-6 + 21x + (-8x + 28x2)) = 0 Combine like terms: 21x + -8x = 13x (-6 + 13x + 28x2) = 0 Solving -6 + 13x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -4x)(2 + -7x) = 0Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 2
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 = 0.2857142857Solution
x = {-0.75, 0.2857142857}
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