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Simplifying 10x2 + 63x + 65 = 0 Reorder the terms: 65 + 63x + 10x2 = 0 Solving 65 + 63x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + x)(13 + 10x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(13 + 10x)' equal to zero and attempt to solve: Simplifying 13 + 10x = 0 Solving 13 + 10x = 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 + 10x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 10x = 0 + -13 10x = 0 + -13 Combine like terms: 0 + -13 = -13 10x = -13 Divide each side by '10'. x = -1.3 Simplifying x = -1.3Solution
x = {-5, -1.3}
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