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Simplifying 98 + 317x = 2x + -175x2 Solving 98 + 317x = 2x + -175x2 Solving for variable 'x'. Combine like terms: 317x + -2x = 315x 98 + 315x + 175x2 = 2x + -175x2 + -2x + 175x2 Reorder the terms: 98 + 315x + 175x2 = 2x + -2x + -175x2 + 175x2 Combine like terms: 2x + -2x = 0 98 + 315x + 175x2 = 0 + -175x2 + 175x2 98 + 315x + 175x2 = -175x2 + 175x2 Combine like terms: -175x2 + 175x2 = 0 98 + 315x + 175x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(14 + 45x + 25x2) = 0 Factor a trinomial. 7((7 + 5x)(2 + 5x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 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 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-1.4, -0.4}
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