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Simplifying 17x2 + 25x + -44 = 2x2 + -4 Reorder the terms: -44 + 25x + 17x2 = 2x2 + -4 Reorder the terms: -44 + 25x + 17x2 = -4 + 2x2 Solving -44 + 25x + 17x2 = -4 + 2x2 Solving for variable 'x'. Reorder the terms: -44 + 4 + 25x + 17x2 + -2x2 = -4 + 2x2 + 4 + -2x2 Combine like terms: -44 + 4 = -40 -40 + 25x + 17x2 + -2x2 = -4 + 2x2 + 4 + -2x2 Combine like terms: 17x2 + -2x2 = 15x2 -40 + 25x + 15x2 = -4 + 2x2 + 4 + -2x2 Reorder the terms: -40 + 25x + 15x2 = -4 + 4 + 2x2 + -2x2 Combine like terms: -4 + 4 = 0 -40 + 25x + 15x2 = 0 + 2x2 + -2x2 -40 + 25x + 15x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -40 + 25x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-8 + 5x + 3x2) = 0 Factor a trinomial. 5((-8 + -3x)(1 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-2.666666667, 1}
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