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Simplifying (2x + -7)(2x + -7) = 0 Reorder the terms: (-7 + 2x)(2x + -7) = 0 Reorder the terms: (-7 + 2x)(-7 + 2x) = 0 Multiply (-7 + 2x) * (-7 + 2x) (-7(-7 + 2x) + 2x * (-7 + 2x)) = 0 ((-7 * -7 + 2x * -7) + 2x * (-7 + 2x)) = 0 ((49 + -14x) + 2x * (-7 + 2x)) = 0 (49 + -14x + (-7 * 2x + 2x * 2x)) = 0 (49 + -14x + (-14x + 4x2)) = 0 Combine like terms: -14x + -14x = -28x (49 + -28x + 4x2) = 0 Solving 49 + -28x + 4x2 = 0 Solving for variable 'x'. 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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