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Simplifying (8x + 2)(x + -14) = 0 Reorder the terms: (2 + 8x)(x + -14) = 0 Reorder the terms: (2 + 8x)(-14 + x) = 0 Multiply (2 + 8x) * (-14 + x) (2(-14 + x) + 8x * (-14 + x)) = 0 ((-14 * 2 + x * 2) + 8x * (-14 + x)) = 0 ((-28 + 2x) + 8x * (-14 + x)) = 0 (-28 + 2x + (-14 * 8x + x * 8x)) = 0 (-28 + 2x + (-112x + 8x2)) = 0 Combine like terms: 2x + -112x = -110x (-28 + -110x + 8x2) = 0 Solving -28 + -110x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + -55x + 4x2) = 0 Factor a trinomial. 2((-1 + -4x)(14 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 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 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {-0.25, 14}
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