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Simplifying (x) = 5x2 + 30x + 36 x = 5x2 + 30x + 36 Reorder the terms: x = 36 + 30x + 5x2 Solving x = 36 + 30x + 5x2 Solving for variable 'x'. Reorder the terms: -36 + x + -30x + -5x2 = 36 + 30x + 5x2 + -36 + -30x + -5x2 Combine like terms: x + -30x = -29x -36 + -29x + -5x2 = 36 + 30x + 5x2 + -36 + -30x + -5x2 Reorder the terms: -36 + -29x + -5x2 = 36 + -36 + 30x + -30x + 5x2 + -5x2 Combine like terms: 36 + -36 = 0 -36 + -29x + -5x2 = 0 + 30x + -30x + 5x2 + -5x2 -36 + -29x + -5x2 = 30x + -30x + 5x2 + -5x2 Combine like terms: 30x + -30x = 0 -36 + -29x + -5x2 = 0 + 5x2 + -5x2 -36 + -29x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -36 + -29x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(36 + 29x + 5x2) = 0 Factor a trinomial. -1((4 + x)(9 + 5x)) = 0 Ignore the factor -1.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 '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Solution
x = {-4, -1.8}
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