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Simplifying 25x2 = 70x + -49 Reorder the terms: 25x2 = -49 + 70x Solving 25x2 = -49 + 70x Solving for variable 'x'. Reorder the terms: 49 + -70x + 25x2 = -49 + 70x + 49 + -70x Reorder the terms: 49 + -70x + 25x2 = -49 + 49 + 70x + -70x Combine like terms: -49 + 49 = 0 49 + -70x + 25x2 = 0 + 70x + -70x 49 + -70x + 25x2 = 70x + -70x Combine like terms: 70x + -70x = 0 49 + -70x + 25x2 = 0 Factor a trinomial. (7 + -5x)(7 + -5x) = 0Subproblem 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 '(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 = 1.4Solution
x = {1.4, 1.4}
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