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Simplifying 10x2 + 69x + 32 = 0 Reorder the terms: 32 + 69x + 10x2 = 0 Solving 32 + 69x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (32 + 5x)(1 + 2x) = 0Subproblem 1
Set the factor '(32 + 5x)' equal to zero and attempt to solve: Simplifying 32 + 5x = 0 Solving 32 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 5x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 5x = 0 + -32 5x = 0 + -32 Combine like terms: 0 + -32 = -32 5x = -32 Divide each side by '5'. x = -6.4 Simplifying x = -6.4Subproblem 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 = {-6.4, -0.5}
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