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Simplifying (3x + -2)(8x + -7) = 0 Reorder the terms: (-2 + 3x)(8x + -7) = 0 Reorder the terms: (-2 + 3x)(-7 + 8x) = 0 Multiply (-2 + 3x) * (-7 + 8x) (-2(-7 + 8x) + 3x * (-7 + 8x)) = 0 ((-7 * -2 + 8x * -2) + 3x * (-7 + 8x)) = 0 ((14 + -16x) + 3x * (-7 + 8x)) = 0 (14 + -16x + (-7 * 3x + 8x * 3x)) = 0 (14 + -16x + (-21x + 24x2)) = 0 Combine like terms: -16x + -21x = -37x (14 + -37x + 24x2) = 0 Solving 14 + -37x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(7 + -8x) = 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 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 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 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Solution
x = {0.6666666667, 0.875}
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