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Simplifying 175x2 + 126x + -49 = 0 Reorder the terms: -49 + 126x + 175x2 = 0 Solving -49 + 126x + 175x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(-7 + 18x + 25x2) = 0 Factor a trinomial. 7((-1 + -1x)(7 + -25x)) = 0 Ignore the factor 7.Subproblem 1
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 = -1Subproblem 2
Set the factor '(7 + -25x)' equal to zero and attempt to solve: Simplifying 7 + -25x = 0 Solving 7 + -25x = 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 + -25x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -25x = 0 + -7 -25x = 0 + -7 Combine like terms: 0 + -7 = -7 -25x = -7 Divide each side by '-25'. x = 0.28 Simplifying x = 0.28Solution
x = {-1, 0.28}
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