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Simplifying (5x2 + 5x + -3) + (-7x2 + 6) = 0 Reorder the terms: (-3 + 5x + 5x2) + (-7x2 + 6) = 0 Remove parenthesis around (-3 + 5x + 5x2) -3 + 5x + 5x2 + (-7x2 + 6) = 0 Reorder the terms: -3 + 5x + 5x2 + (6 + -7x2) = 0 Remove parenthesis around (6 + -7x2) -3 + 5x + 5x2 + 6 + -7x2 = 0 Reorder the terms: -3 + 6 + 5x + 5x2 + -7x2 = 0 Combine like terms: -3 + 6 = 3 3 + 5x + 5x2 + -7x2 = 0 Combine like terms: 5x2 + -7x2 = -2x2 3 + 5x + -2x2 = 0 Solving 3 + 5x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(1 + 2x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {3, -0.5}
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