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Simplifying (17x + -7)(2x + 3) = 0 Reorder the terms: (-7 + 17x)(2x + 3) = 0 Reorder the terms: (-7 + 17x)(3 + 2x) = 0 Multiply (-7 + 17x) * (3 + 2x) (-7(3 + 2x) + 17x * (3 + 2x)) = 0 ((3 * -7 + 2x * -7) + 17x * (3 + 2x)) = 0 ((-21 + -14x) + 17x * (3 + 2x)) = 0 (-21 + -14x + (3 * 17x + 2x * 17x)) = 0 (-21 + -14x + (51x + 34x2)) = 0 Combine like terms: -14x + 51x = 37x (-21 + 37x + 34x2) = 0 Solving -21 + 37x + 34x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2x)(7 + -17x) = 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 + -17x)' equal to zero and attempt to solve: Simplifying 7 + -17x = 0 Solving 7 + -17x = 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 + -17x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -17x = 0 + -7 -17x = 0 + -7 Combine like terms: 0 + -7 = -7 -17x = -7 Divide each side by '-17'. x = 0.4117647059 Simplifying x = 0.4117647059Solution
x = {-1.5, 0.4117647059}
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