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Simplifying (x + 2)(x + 2)(4x + -12) = 7x + 12 Reorder the terms: (2 + x)(x + 2)(4x + -12) = 7x + 12 Reorder the terms: (2 + x)(2 + x)(4x + -12) = 7x + 12 Reorder the terms: (2 + x)(2 + x)(-12 + 4x) = 7x + 12 Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x))(-12 + 4x) = 7x + 12 ((2 * 2 + x * 2) + x(2 + x))(-12 + 4x) = 7x + 12 ((4 + 2x) + x(2 + x))(-12 + 4x) = 7x + 12 (4 + 2x + (2 * x + x * x))(-12 + 4x) = 7x + 12 (4 + 2x + (2x + x2))(-12 + 4x) = 7x + 12 Combine like terms: 2x + 2x = 4x (4 + 4x + x2)(-12 + 4x) = 7x + 12 Multiply (4 + 4x + x2) * (-12 + 4x) (4(-12 + 4x) + 4x * (-12 + 4x) + x2(-12 + 4x)) = 7x + 12 ((-12 * 4 + 4x * 4) + 4x * (-12 + 4x) + x2(-12 + 4x)) = 7x + 12 ((-48 + 16x) + 4x * (-12 + 4x) + x2(-12 + 4x)) = 7x + 12 (-48 + 16x + (-12 * 4x + 4x * 4x) + x2(-12 + 4x)) = 7x + 12 (-48 + 16x + (-48x + 16x2) + x2(-12 + 4x)) = 7x + 12 (-48 + 16x + -48x + 16x2 + (-12 * x2 + 4x * x2)) = 7x + 12 (-48 + 16x + -48x + 16x2 + (-12x2 + 4x3)) = 7x + 12 Combine like terms: 16x + -48x = -32x (-48 + -32x + 16x2 + -12x2 + 4x3) = 7x + 12 Combine like terms: 16x2 + -12x2 = 4x2 (-48 + -32x + 4x2 + 4x3) = 7x + 12 Reorder the terms: -48 + -32x + 4x2 + 4x3 = 12 + 7x Solving -48 + -32x + 4x2 + 4x3 = 12 + 7x Solving for variable 'x'. Reorder the terms: -48 + -12 + -32x + -7x + 4x2 + 4x3 = 12 + 7x + -12 + -7x Combine like terms: -48 + -12 = -60 -60 + -32x + -7x + 4x2 + 4x3 = 12 + 7x + -12 + -7x Combine like terms: -32x + -7x = -39x -60 + -39x + 4x2 + 4x3 = 12 + 7x + -12 + -7x Reorder the terms: -60 + -39x + 4x2 + 4x3 = 12 + -12 + 7x + -7x Combine like terms: 12 + -12 = 0 -60 + -39x + 4x2 + 4x3 = 0 + 7x + -7x -60 + -39x + 4x2 + 4x3 = 7x + -7x Combine like terms: 7x + -7x = 0 -60 + -39x + 4x2 + 4x3 = 0 The solution to this equation could not be determined.
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