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Simplifying ((x + 4)(x + 4)) + -4x2 + 4x + -1 = 8x Reorder the terms: ((4 + x)(x + 4)) + -4x2 + 4x + -1 = 8x Reorder the terms: ((4 + x)(4 + x)) + -4x2 + 4x + -1 = 8x Multiply (4 + x) * (4 + x) ((4(4 + x) + x(4 + x))) + -4x2 + 4x + -1 = 8x (((4 * 4 + x * 4) + x(4 + x))) + -4x2 + 4x + -1 = 8x (((16 + 4x) + x(4 + x))) + -4x2 + 4x + -1 = 8x ((16 + 4x + (4 * x + x * x))) + -4x2 + 4x + -1 = 8x ((16 + 4x + (4x + x2))) + -4x2 + 4x + -1 = 8x Combine like terms: 4x + 4x = 8x ((16 + 8x + x2)) + -4x2 + 4x + -1 = 8x (16 + 8x + x2) + -4x2 + 4x + -1 = 8x Remove parenthesis around (16 + 8x + x2) 16 + 8x + x2 + -4x2 + 4x + -1 = 8x Reorder the terms: 16 + -1 + 8x + 4x + x2 + -4x2 = 8x Combine like terms: 16 + -1 = 15 15 + 8x + 4x + x2 + -4x2 = 8x Combine like terms: 8x + 4x = 12x 15 + 12x + x2 + -4x2 = 8x Combine like terms: x2 + -4x2 = -3x2 15 + 12x + -3x2 = 8x Solving 15 + 12x + -3x2 = 8x Solving for variable 'x'. Reorder the terms: 15 + 12x + -8x + -3x2 = 8x + -8x Combine like terms: 12x + -8x = 4x 15 + 4x + -3x2 = 8x + -8x Combine like terms: 8x + -8x = 0 15 + 4x + -3x2 = 0 Factor a trinomial. (3 + -1x)(5 + 3x) = 0Subproblem 1
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 = 3Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Solution
x = {3, -1.666666667}
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