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Simplifying 4(x + 14) + -1x(x + 14) = 0 Reorder the terms: 4(14 + x) + -1x(x + 14) = 0 (14 * 4 + x * 4) + -1x(x + 14) = 0 (56 + 4x) + -1x(x + 14) = 0 Reorder the terms: 56 + 4x + -1x(14 + x) = 0 56 + 4x + (14 * -1x + x * -1x) = 0 56 + 4x + (-14x + -1x2) = 0 Combine like terms: 4x + -14x = -10x 56 + -10x + -1x2 = 0 Solving 56 + -10x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(14 + x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {4, -14}
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