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Simplifying x(2 + 3x) = 320 (2 * x + 3x * x) = 320 (2x + 3x2) = 320 Solving 2x + 3x2 = 320 Solving for variable 'x'. Reorder the terms: -320 + 2x + 3x2 = 320 + -320 Combine like terms: 320 + -320 = 0 -320 + 2x + 3x2 = 0 Factor a trinomial. (-32 + -3x)(10 + -1x) = 0Subproblem 1
Set the factor '(-32 + -3x)' equal to zero and attempt to solve: Simplifying -32 + -3x = 0 Solving -32 + -3x = 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 + -3x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -3x = 0 + 32 -3x = 0 + 32 Combine like terms: 0 + 32 = 32 -3x = 32 Divide each side by '-3'. x = -10.66666667 Simplifying x = -10.66666667Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-10.66666667, 10}
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