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Simplifying (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 = -29x (6 + -29x + 28x2) = 0 Solving 6 + -29x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -7x)(3 + -4x) = 0Subproblem 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 + -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 = 0.75Solution
x = {0.2857142857, 0.75}
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