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Simplifying 8x2 + -21x + 10 + 16x2 + 71x + 15 = 0 Reorder the terms: 10 + 15 + -21x + 71x + 8x2 + 16x2 = 0 Combine like terms: 10 + 15 = 25 25 + -21x + 71x + 8x2 + 16x2 = 0 Combine like terms: -21x + 71x = 50x 25 + 50x + 8x2 + 16x2 = 0 Combine like terms: 8x2 + 16x2 = 24x2 25 + 50x + 24x2 = 0 Solving 25 + 50x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 4x)(5 + 6x) = 0Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 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 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Solution
x = {-1.25, -0.8333333333}
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