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Simplifying (x + -7)(2x + -3) = 0 Reorder the terms: (-7 + x)(2x + -3) = 0 Reorder the terms: (-7 + x)(-3 + 2x) = 0 Multiply (-7 + x) * (-3 + 2x) (-7(-3 + 2x) + x(-3 + 2x)) = 0 ((-3 * -7 + 2x * -7) + x(-3 + 2x)) = 0 ((21 + -14x) + x(-3 + 2x)) = 0 (21 + -14x + (-3 * x + 2x * x)) = 0 (21 + -14x + (-3x + 2x2)) = 0 Combine like terms: -14x + -3x = -17x (21 + -17x + 2x2) = 0 Solving 21 + -17x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -2x)(7 + -1x) = 0Subproblem 1
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 = 1.5Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {1.5, 7}
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