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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 out the Greatest Common Factor (GCF), '-1'. -1(25 + 70x + 49x2) = 0 Factor a trinomial. -1((5 + 7x)(5 + 7x)) = 0 Ignore the factor -1.Subproblem 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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