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Simplifying (2x + -3)(x + -7) = 0 Reorder the terms: (-3 + 2x)(x + -7) = 0 Reorder the terms: (-3 + 2x)(-7 + x) = 0 Multiply (-3 + 2x) * (-7 + x) (-3(-7 + x) + 2x * (-7 + x)) = 0 ((-7 * -3 + x * -3) + 2x * (-7 + x)) = 0 ((21 + -3x) + 2x * (-7 + x)) = 0 (21 + -3x + (-7 * 2x + x * 2x)) = 0 (21 + -3x + (-14x + 2x2)) = 0 Combine like terms: -3x + -14x = -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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