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Simplifying (2x + 6)(x + 5) + -1(2x * 4) = 0 Reorder the terms: (6 + 2x)(x + 5) + -1(2x * 4) = 0 Reorder the terms: (6 + 2x)(5 + x) + -1(2x * 4) = 0 Multiply (6 + 2x) * (5 + x) (6(5 + x) + 2x * (5 + x)) + -1(2x * 4) = 0 ((5 * 6 + x * 6) + 2x * (5 + x)) + -1(2x * 4) = 0 ((30 + 6x) + 2x * (5 + x)) + -1(2x * 4) = 0 (30 + 6x + (5 * 2x + x * 2x)) + -1(2x * 4) = 0 (30 + 6x + (10x + 2x2)) + -1(2x * 4) = 0 Combine like terms: 6x + 10x = 16x (30 + 16x + 2x2) + -1(2x * 4) = 0 Reorder the terms for easier multiplication: 30 + 16x + 2x2 + -1(2 * 4x) = 0 Multiply 2 * 4 30 + 16x + 2x2 + -1(8x) = 0 Remove parenthesis around (8x) 30 + 16x + 2x2 + -1 * 8x = 0 Multiply -1 * 8 30 + 16x + 2x2 + -8x = 0 Reorder the terms: 30 + 16x + -8x + 2x2 = 0 Combine like terms: 16x + -8x = 8x 30 + 8x + 2x2 = 0 Solving 30 + 8x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + 4x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + 4x + x2)' equal to zero and attempt to solve: Simplifying 15 + 4x + x2 = 0 Solving 15 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 4x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + 4x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x + x2 = 0 + -15 4x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 4x + x2 = -15 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -15 + 4 Reorder the terms: 4 + 4x + x2 = -15 + 4 Combine like terms: -15 + 4 = -11 4 + 4x + x2 = -11 Factor a perfect square on the left side: (x + 2)(x + 2) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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