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Simplifying 2x(2x + -14) = -49 Reorder the terms: 2x(-14 + 2x) = -49 (-14 * 2x + 2x * 2x) = -49 (-28x + 4x2) = -49 Solving -28x + 4x2 = -49 Solving for variable 'x'. Reorder the terms: 49 + -28x + 4x2 = -49 + 49 Combine like terms: -49 + 49 = 0 49 + -28x + 4x2 = 0 Factor a trinomial. (7 + -2x)(7 + -2x) = 0Subproblem 1
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {3.5, 3.5}
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