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Simplifying (5x2 + 2x + 5) + (3x2 + 7x + -4) = 0 Reorder the terms: (5 + 2x + 5x2) + (3x2 + 7x + -4) = 0 Remove parenthesis around (5 + 2x + 5x2) 5 + 2x + 5x2 + (3x2 + 7x + -4) = 0 Reorder the terms: 5 + 2x + 5x2 + (-4 + 7x + 3x2) = 0 Remove parenthesis around (-4 + 7x + 3x2) 5 + 2x + 5x2 + -4 + 7x + 3x2 = 0 Reorder the terms: 5 + -4 + 2x + 7x + 5x2 + 3x2 = 0 Combine like terms: 5 + -4 = 1 1 + 2x + 7x + 5x2 + 3x2 = 0 Combine like terms: 2x + 7x = 9x 1 + 9x + 5x2 + 3x2 = 0 Combine like terms: 5x2 + 3x2 = 8x2 1 + 9x + 8x2 = 0 Solving 1 + 9x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + x)(1 + 8x) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 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 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125Solution
x = {-1, -0.125}
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