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Simplifying (x + 3)(x + 4) + -1(9x2 + 7) = 5 Reorder the terms: (3 + x)(x + 4) + -1(9x2 + 7) = 5 Reorder the terms: (3 + x)(4 + x) + -1(9x2 + 7) = 5 Multiply (3 + x) * (4 + x) (3(4 + x) + x(4 + x)) + -1(9x2 + 7) = 5 ((4 * 3 + x * 3) + x(4 + x)) + -1(9x2 + 7) = 5 ((12 + 3x) + x(4 + x)) + -1(9x2 + 7) = 5 (12 + 3x + (4 * x + x * x)) + -1(9x2 + 7) = 5 (12 + 3x + (4x + x2)) + -1(9x2 + 7) = 5 Combine like terms: 3x + 4x = 7x (12 + 7x + x2) + -1(9x2 + 7) = 5 Reorder the terms: 12 + 7x + x2 + -1(7 + 9x2) = 5 12 + 7x + x2 + (7 * -1 + 9x2 * -1) = 5 12 + 7x + x2 + (-7 + -9x2) = 5 Reorder the terms: 12 + -7 + 7x + x2 + -9x2 = 5 Combine like terms: 12 + -7 = 5 5 + 7x + x2 + -9x2 = 5 Combine like terms: x2 + -9x2 = -8x2 5 + 7x + -8x2 = 5 Add '-5' to each side of the equation. 5 + 7x + -5 + -8x2 = 5 + -5 Reorder the terms: 5 + -5 + 7x + -8x2 = 5 + -5 Combine like terms: 5 + -5 = 0 0 + 7x + -8x2 = 5 + -5 7x + -8x2 = 5 + -5 Combine like terms: 5 + -5 = 0 7x + -8x2 = 0 Solving 7x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + -8x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Solution
x = {0, 0.875}
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