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Simplifying (4x + -7)(3x + -2) = 0 Reorder the terms: (-7 + 4x)(3x + -2) = 0 Reorder the terms: (-7 + 4x)(-2 + 3x) = 0 Multiply (-7 + 4x) * (-2 + 3x) (-7(-2 + 3x) + 4x * (-2 + 3x)) = 0 ((-2 * -7 + 3x * -7) + 4x * (-2 + 3x)) = 0 ((14 + -21x) + 4x * (-2 + 3x)) = 0 (14 + -21x + (-2 * 4x + 3x * 4x)) = 0 (14 + -21x + (-8x + 12x2)) = 0 Combine like terms: -21x + -8x = -29x (14 + -29x + 12x2) = 0 Solving 14 + -29x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(7 + -4x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {0.6666666667, 1.75}
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