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Simplifying 49x2 = 28x + -4 Reorder the terms: 49x2 = -4 + 28x Solving 49x2 = -4 + 28x Solving for variable 'x'. Reorder the terms: 4 + -28x + 49x2 = -4 + 28x + 4 + -28x Reorder the terms: 4 + -28x + 49x2 = -4 + 4 + 28x + -28x Combine like terms: -4 + 4 = 0 4 + -28x + 49x2 = 0 + 28x + -28x 4 + -28x + 49x2 = 28x + -28x Combine like terms: 28x + -28x = 0 4 + -28x + 49x2 = 0 Factor a trinomial. (2 + -7x)(2 + -7x) = 0Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {0.2857142857, 0.2857142857}
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