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Simplifying 15x2 + 21x + 8 = 5x2 Reorder the terms: 8 + 21x + 15x2 = 5x2 Solving 8 + 21x + 15x2 = 5x2 Solving for variable 'x'. Combine like terms: 15x2 + -5x2 = 10x2 8 + 21x + 10x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 8 + 21x + 10x2 = 0 Factor a trinomial. (8 + 5x)(1 + 2x) = 0Subproblem 1
Set the factor '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Subproblem 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 = {-1.6, -0.5}
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