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Simplifying (4x + -1)(x + -2) = 7x + -14 Reorder the terms: (-1 + 4x)(x + -2) = 7x + -14 Reorder the terms: (-1 + 4x)(-2 + x) = 7x + -14 Multiply (-1 + 4x) * (-2 + x) (-1(-2 + x) + 4x * (-2 + x)) = 7x + -14 ((-2 * -1 + x * -1) + 4x * (-2 + x)) = 7x + -14 ((2 + -1x) + 4x * (-2 + x)) = 7x + -14 (2 + -1x + (-2 * 4x + x * 4x)) = 7x + -14 (2 + -1x + (-8x + 4x2)) = 7x + -14 Combine like terms: -1x + -8x = -9x (2 + -9x + 4x2) = 7x + -14 Reorder the terms: 2 + -9x + 4x2 = -14 + 7x Solving 2 + -9x + 4x2 = -14 + 7x Solving for variable 'x'. Reorder the terms: 2 + 14 + -9x + -7x + 4x2 = -14 + 7x + 14 + -7x Combine like terms: 2 + 14 = 16 16 + -9x + -7x + 4x2 = -14 + 7x + 14 + -7x Combine like terms: -9x + -7x = -16x 16 + -16x + 4x2 = -14 + 7x + 14 + -7x Reorder the terms: 16 + -16x + 4x2 = -14 + 14 + 7x + -7x Combine like terms: -14 + 14 = 0 16 + -16x + 4x2 = 0 + 7x + -7x 16 + -16x + 4x2 = 7x + -7x Combine like terms: 7x + -7x = 0 16 + -16x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -4x + x2) = 0 Factor a trinomial. 4((2 + -1x)(2 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {2, 2}
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