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Simplifying (2x + -2)(25x + 12) = 0 Reorder the terms: (-2 + 2x)(25x + 12) = 0 Reorder the terms: (-2 + 2x)(12 + 25x) = 0 Multiply (-2 + 2x) * (12 + 25x) (-2(12 + 25x) + 2x * (12 + 25x)) = 0 ((12 * -2 + 25x * -2) + 2x * (12 + 25x)) = 0 ((-24 + -50x) + 2x * (12 + 25x)) = 0 (-24 + -50x + (12 * 2x + 25x * 2x)) = 0 (-24 + -50x + (24x + 50x2)) = 0 Combine like terms: -50x + 24x = -26x (-24 + -26x + 50x2) = 0 Solving -24 + -26x + 50x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + -13x + 25x2) = 0 Factor a trinomial. 2((-12 + -25x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + -25x)' equal to zero and attempt to solve: Simplifying -12 + -25x = 0 Solving -12 + -25x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -25x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -25x = 0 + 12 -25x = 0 + 12 Combine like terms: 0 + 12 = 12 -25x = 12 Divide each side by '-25'. x = -0.48 Simplifying x = -0.48Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.48, 1}
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