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Simplifying 20x2 + 1 = -69x + -53 Reorder the terms: 1 + 20x2 = -69x + -53 Reorder the terms: 1 + 20x2 = -53 + -69x Solving 1 + 20x2 = -53 + -69x Solving for variable 'x'. Reorder the terms: 1 + 53 + 69x + 20x2 = -53 + -69x + 53 + 69x Combine like terms: 1 + 53 = 54 54 + 69x + 20x2 = -53 + -69x + 53 + 69x Reorder the terms: 54 + 69x + 20x2 = -53 + 53 + -69x + 69x Combine like terms: -53 + 53 = 0 54 + 69x + 20x2 = 0 + -69x + 69x 54 + 69x + 20x2 = -69x + 69x Combine like terms: -69x + 69x = 0 54 + 69x + 20x2 = 0 Factor a trinomial. (9 + 4x)(6 + 5x) = 0Subproblem 1
Set the factor '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Solution
x = {-2.25, -1.2}
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