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Simplifying 4x2 + 16x + 16 = 6x + 10 Reorder the terms: 16 + 16x + 4x2 = 6x + 10 Reorder the terms: 16 + 16x + 4x2 = 10 + 6x Solving 16 + 16x + 4x2 = 10 + 6x Solving for variable 'x'. Reorder the terms: 16 + -10 + 16x + -6x + 4x2 = 10 + 6x + -10 + -6x Combine like terms: 16 + -10 = 6 6 + 16x + -6x + 4x2 = 10 + 6x + -10 + -6x Combine like terms: 16x + -6x = 10x 6 + 10x + 4x2 = 10 + 6x + -10 + -6x Reorder the terms: 6 + 10x + 4x2 = 10 + -10 + 6x + -6x Combine like terms: 10 + -10 = 0 6 + 10x + 4x2 = 0 + 6x + -6x 6 + 10x + 4x2 = 6x + -6x Combine like terms: 6x + -6x = 0 6 + 10x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 5x + 2x2) = 0 Factor a trinomial. 2((3 + 2x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1.5, -1}
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