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Simplifying 6(x2 + 10x + 25) + -1(x + 5) = 2 Reorder the terms: 6(25 + 10x + x2) + -1(x + 5) = 2 (25 * 6 + 10x * 6 + x2 * 6) + -1(x + 5) = 2 (150 + 60x + 6x2) + -1(x + 5) = 2 Reorder the terms: 150 + 60x + 6x2 + -1(5 + x) = 2 150 + 60x + 6x2 + (5 * -1 + x * -1) = 2 150 + 60x + 6x2 + (-5 + -1x) = 2 Reorder the terms: 150 + -5 + 60x + -1x + 6x2 = 2 Combine like terms: 150 + -5 = 145 145 + 60x + -1x + 6x2 = 2 Combine like terms: 60x + -1x = 59x 145 + 59x + 6x2 = 2 Solving 145 + 59x + 6x2 = 2 Solving for variable 'x'. Reorder the terms: 145 + -2 + 59x + 6x2 = 2 + -2 Combine like terms: 145 + -2 = 143 143 + 59x + 6x2 = 2 + -2 Combine like terms: 2 + -2 = 0 143 + 59x + 6x2 = 0 Factor a trinomial. (11 + 2x)(13 + 3x) = 0Subproblem 1
Set the factor '(11 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 2x = 0 Solving 11 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(13 + 3x)' equal to zero and attempt to solve: Simplifying 13 + 3x = 0 Solving 13 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 0 + -13 3x = 0 + -13 Combine like terms: 0 + -13 = -13 3x = -13 Divide each side by '3'. x = -4.333333333 Simplifying x = -4.333333333Solution
x = {-5.5, -4.333333333}
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