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Simplifying 3(x + 4)(x + 4) + -7 = -7 Reorder the terms: 3(4 + x)(x + 4) + -7 = -7 Reorder the terms: 3(4 + x)(4 + x) + -7 = -7 Multiply (4 + x) * (4 + x) 3(4(4 + x) + x(4 + x)) + -7 = -7 3((4 * 4 + x * 4) + x(4 + x)) + -7 = -7 3((16 + 4x) + x(4 + x)) + -7 = -7 3(16 + 4x + (4 * x + x * x)) + -7 = -7 3(16 + 4x + (4x + x2)) + -7 = -7 Combine like terms: 4x + 4x = 8x 3(16 + 8x + x2) + -7 = -7 (16 * 3 + 8x * 3 + x2 * 3) + -7 = -7 (48 + 24x + 3x2) + -7 = -7 Reorder the terms: 48 + -7 + 24x + 3x2 = -7 Combine like terms: 48 + -7 = 41 41 + 24x + 3x2 = -7 Solving 41 + 24x + 3x2 = -7 Solving for variable 'x'. Reorder the terms: 41 + 7 + 24x + 3x2 = -7 + 7 Combine like terms: 41 + 7 = 48 48 + 24x + 3x2 = -7 + 7 Combine like terms: -7 + 7 = 0 48 + 24x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(16 + 8x + x2) = 0 Factor a trinomial. 3((4 + x)(4 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-4, -4}
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