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Simplifying 0 = 10x2 + 27x + -28 Reorder the terms: 0 = -28 + 27x + 10x2 Solving 0 = -28 + 27x + 10x2 Solving for variable 'x'. Combine like terms: 0 + 28 = 28 28 + -27x + -10x2 = -28 + 27x + 10x2 + 28 + -27x + -10x2 Reorder the terms: 28 + -27x + -10x2 = -28 + 28 + 27x + -27x + 10x2 + -10x2 Combine like terms: -28 + 28 = 0 28 + -27x + -10x2 = 0 + 27x + -27x + 10x2 + -10x2 28 + -27x + -10x2 = 27x + -27x + 10x2 + -10x2 Combine like terms: 27x + -27x = 0 28 + -27x + -10x2 = 0 + 10x2 + -10x2 28 + -27x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 28 + -27x + -10x2 = 0 Factor a trinomial. (4 + -5x)(7 + 2x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {0.8, -3.5}
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