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Simplifying 2x2 + 10x + 3x + 15 = 4x2 + x + 1 Reorder the terms: 15 + 10x + 3x + 2x2 = 4x2 + x + 1 Combine like terms: 10x + 3x = 13x 15 + 13x + 2x2 = 4x2 + x + 1 Reorder the terms: 15 + 13x + 2x2 = 1 + x + 4x2 Solving 15 + 13x + 2x2 = 1 + x + 4x2 Solving for variable 'x'. Reorder the terms: 15 + -1 + 13x + -1x + 2x2 + -4x2 = 1 + x + 4x2 + -1 + -1x + -4x2 Combine like terms: 15 + -1 = 14 14 + 13x + -1x + 2x2 + -4x2 = 1 + x + 4x2 + -1 + -1x + -4x2 Combine like terms: 13x + -1x = 12x 14 + 12x + 2x2 + -4x2 = 1 + x + 4x2 + -1 + -1x + -4x2 Combine like terms: 2x2 + -4x2 = -2x2 14 + 12x + -2x2 = 1 + x + 4x2 + -1 + -1x + -4x2 Reorder the terms: 14 + 12x + -2x2 = 1 + -1 + x + -1x + 4x2 + -4x2 Combine like terms: 1 + -1 = 0 14 + 12x + -2x2 = 0 + x + -1x + 4x2 + -4x2 14 + 12x + -2x2 = x + -1x + 4x2 + -4x2 Combine like terms: x + -1x = 0 14 + 12x + -2x2 = 0 + 4x2 + -4x2 14 + 12x + -2x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 14 + 12x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 6x + -1x2) = 0 Factor a trinomial. 2((7 + -1x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 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 = {7, -1}
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