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