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Simplifying 9 + -2 * 3x + x2 = 25x2 + 10x + 1 Multiply -2 * 3 9 + -6x + x2 = 25x2 + 10x + 1 Reorder the terms: 9 + -6x + x2 = 1 + 10x + 25x2 Solving 9 + -6x + x2 = 1 + 10x + 25x2 Solving for variable 'x'. Reorder the terms: 9 + -1 + -6x + -10x + x2 + -25x2 = 1 + 10x + 25x2 + -1 + -10x + -25x2 Combine like terms: 9 + -1 = 8 8 + -6x + -10x + x2 + -25x2 = 1 + 10x + 25x2 + -1 + -10x + -25x2 Combine like terms: -6x + -10x = -16x 8 + -16x + x2 + -25x2 = 1 + 10x + 25x2 + -1 + -10x + -25x2 Combine like terms: x2 + -25x2 = -24x2 8 + -16x + -24x2 = 1 + 10x + 25x2 + -1 + -10x + -25x2 Reorder the terms: 8 + -16x + -24x2 = 1 + -1 + 10x + -10x + 25x2 + -25x2 Combine like terms: 1 + -1 = 0 8 + -16x + -24x2 = 0 + 10x + -10x + 25x2 + -25x2 8 + -16x + -24x2 = 10x + -10x + 25x2 + -25x2 Combine like terms: 10x + -10x = 0 8 + -16x + -24x2 = 0 + 25x2 + -25x2 8 + -16x + -24x2 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 8 + -16x + -24x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(1 + -2x + -3x2) = 0 Factor a trinomial. 8((1 + -3x)(1 + x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0.3333333333, -1}
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