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Simplifying 800 = 3x2 + 2x Reorder the terms: 800 = 2x + 3x2 Solving 800 = 2x + 3x2 Solving for variable 'x'. Reorder the terms: 800 + -2x + -3x2 = 2x + -2x + 3x2 + -3x2 Combine like terms: 2x + -2x = 0 800 + -2x + -3x2 = 0 + 3x2 + -3x2 800 + -2x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 800 + -2x + -3x2 = 0 Factor a trinomial. (16 + -1x)(50 + 3x) = 0Subproblem 1
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Subproblem 2
Set the factor '(50 + 3x)' equal to zero and attempt to solve: Simplifying 50 + 3x = 0 Solving 50 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 3x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 3x = 0 + -50 3x = 0 + -50 Combine like terms: 0 + -50 = -50 3x = -50 Divide each side by '3'. x = -16.66666667 Simplifying x = -16.66666667Solution
x = {16, -16.66666667}
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