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Simplifying 2x2 + 15x + -20 = 5x2 + -6x + 10 Reorder the terms: -20 + 15x + 2x2 = 5x2 + -6x + 10 Reorder the terms: -20 + 15x + 2x2 = 10 + -6x + 5x2 Solving -20 + 15x + 2x2 = 10 + -6x + 5x2 Solving for variable 'x'. Reorder the terms: -20 + -10 + 15x + 6x + 2x2 + -5x2 = 10 + -6x + 5x2 + -10 + 6x + -5x2 Combine like terms: -20 + -10 = -30 -30 + 15x + 6x + 2x2 + -5x2 = 10 + -6x + 5x2 + -10 + 6x + -5x2 Combine like terms: 15x + 6x = 21x -30 + 21x + 2x2 + -5x2 = 10 + -6x + 5x2 + -10 + 6x + -5x2 Combine like terms: 2x2 + -5x2 = -3x2 -30 + 21x + -3x2 = 10 + -6x + 5x2 + -10 + 6x + -5x2 Reorder the terms: -30 + 21x + -3x2 = 10 + -10 + -6x + 6x + 5x2 + -5x2 Combine like terms: 10 + -10 = 0 -30 + 21x + -3x2 = 0 + -6x + 6x + 5x2 + -5x2 -30 + 21x + -3x2 = -6x + 6x + 5x2 + -5x2 Combine like terms: -6x + 6x = 0 -30 + 21x + -3x2 = 0 + 5x2 + -5x2 -30 + 21x + -3x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -30 + 21x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + 7x + -1x2) = 0 Factor a trinomial. 3((-5 + x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 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 = {5, 2}
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