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Simplifying 16x2 = 56x + -49 Reorder the terms: 16x2 = -49 + 56x Solving 16x2 = -49 + 56x Solving for variable 'x'. Reorder the terms: 49 + -56x + 16x2 = -49 + 56x + 49 + -56x Reorder the terms: 49 + -56x + 16x2 = -49 + 49 + 56x + -56x Combine like terms: -49 + 49 = 0 49 + -56x + 16x2 = 0 + 56x + -56x 49 + -56x + 16x2 = 56x + -56x Combine like terms: 56x + -56x = 0 49 + -56x + 16x2 = 0 Factor a trinomial. (7 + -4x)(7 + -4x) = 0Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {1.75, 1.75}
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