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Simplifying (4x + -3)(2x + 1) = 63 Reorder the terms: (-3 + 4x)(2x + 1) = 63 Reorder the terms: (-3 + 4x)(1 + 2x) = 63 Multiply (-3 + 4x) * (1 + 2x) (-3(1 + 2x) + 4x * (1 + 2x)) = 63 ((1 * -3 + 2x * -3) + 4x * (1 + 2x)) = 63 ((-3 + -6x) + 4x * (1 + 2x)) = 63 (-3 + -6x + (1 * 4x + 2x * 4x)) = 63 (-3 + -6x + (4x + 8x2)) = 63 Combine like terms: -6x + 4x = -2x (-3 + -2x + 8x2) = 63 Solving -3 + -2x + 8x2 = 63 Solving for variable 'x'. Reorder the terms: -3 + -63 + -2x + 8x2 = 63 + -63 Combine like terms: -3 + -63 = -66 -66 + -2x + 8x2 = 63 + -63 Combine like terms: 63 + -63 = 0 -66 + -2x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-33 + -1x + 4x2) = 0 Factor a trinomial. 2((-11 + -4x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -4x)' equal to zero and attempt to solve: Simplifying -11 + -4x = 0 Solving -11 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = 0 + 11 -4x = 0 + 11 Combine like terms: 0 + 11 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-2.75, 3}
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