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Simplifying 0 = 49x2 + -70x + 25 Reorder the terms: 0 = 25 + -70x + 49x2 Solving 0 = 25 + -70x + 49x2 Solving for variable 'x'. Combine like terms: 0 + -25 = -25 -25 + 70x + -49x2 = 25 + -70x + 49x2 + -25 + 70x + -49x2 Reorder the terms: -25 + 70x + -49x2 = 25 + -25 + -70x + 70x + 49x2 + -49x2 Combine like terms: 25 + -25 = 0 -25 + 70x + -49x2 = 0 + -70x + 70x + 49x2 + -49x2 -25 + 70x + -49x2 = -70x + 70x + 49x2 + -49x2 Combine like terms: -70x + 70x = 0 -25 + 70x + -49x2 = 0 + 49x2 + -49x2 -25 + 70x + -49x2 = 49x2 + -49x2 Combine like terms: 49x2 + -49x2 = 0 -25 + 70x + -49x2 = 0 Factor a trinomial. (-5 + 7x)(5 + -7x) = 0Subproblem 1
Set the factor '(-5 + 7x)' equal to zero and attempt to solve: Simplifying -5 + 7x = 0 Solving -5 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 0 + 5 7x = 0 + 5 Combine like terms: 0 + 5 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143Subproblem 2
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {0.7142857143, 0.7142857143}
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