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Simplifying 15x2 + -80x + 50 = -15x2 + 7x + -4 Reorder the terms: 50 + -80x + 15x2 = -15x2 + 7x + -4 Reorder the terms: 50 + -80x + 15x2 = -4 + 7x + -15x2 Solving 50 + -80x + 15x2 = -4 + 7x + -15x2 Solving for variable 'x'. Reorder the terms: 50 + 4 + -80x + -7x + 15x2 + 15x2 = -4 + 7x + -15x2 + 4 + -7x + 15x2 Combine like terms: 50 + 4 = 54 54 + -80x + -7x + 15x2 + 15x2 = -4 + 7x + -15x2 + 4 + -7x + 15x2 Combine like terms: -80x + -7x = -87x 54 + -87x + 15x2 + 15x2 = -4 + 7x + -15x2 + 4 + -7x + 15x2 Combine like terms: 15x2 + 15x2 = 30x2 54 + -87x + 30x2 = -4 + 7x + -15x2 + 4 + -7x + 15x2 Reorder the terms: 54 + -87x + 30x2 = -4 + 4 + 7x + -7x + -15x2 + 15x2 Combine like terms: -4 + 4 = 0 54 + -87x + 30x2 = 0 + 7x + -7x + -15x2 + 15x2 54 + -87x + 30x2 = 7x + -7x + -15x2 + 15x2 Combine like terms: 7x + -7x = 0 54 + -87x + 30x2 = 0 + -15x2 + 15x2 54 + -87x + 30x2 = -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 54 + -87x + 30x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(18 + -29x + 10x2) = 0 Factor a trinomial. 3((9 + -10x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(9 + -10x)' equal to zero and attempt to solve: Simplifying 9 + -10x = 0 Solving 9 + -10x = 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 + -10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10x = 0 + -9 -10x = 0 + -9 Combine like terms: 0 + -9 = -9 -10x = -9 Divide each side by '-10'. x = 0.9 Simplifying x = 0.9Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.9, 2}
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