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Simplifying 224 + -60x + 4x2 = 143 Solving 224 + -60x + 4x2 = 143 Solving for variable 'x'. Reorder the terms: 224 + -143 + -60x + 4x2 = 143 + -143 Combine like terms: 224 + -143 = 81 81 + -60x + 4x2 = 143 + -143 Combine like terms: 143 + -143 = 0 81 + -60x + 4x2 = 0 Factor a trinomial. (3 + -2x)(27 + -2x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(27 + -2x)' equal to zero and attempt to solve: Simplifying 27 + -2x = 0 Solving 27 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -2x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 0 + -27 -2x = 0 + -27 Combine like terms: 0 + -27 = -27 -2x = -27 Divide each side by '-2'. x = 13.5 Simplifying x = 13.5Solution
x = {1.5, 13.5}
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