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Simplifying 10x2 = 3(x + 9) Reorder the terms: 10x2 = 3(9 + x) 10x2 = (9 * 3 + x * 3) 10x2 = (27 + 3x) Solving 10x2 = 27 + 3x Solving for variable 'x'. Reorder the terms: -27 + -3x + 10x2 = 27 + 3x + -27 + -3x Reorder the terms: -27 + -3x + 10x2 = 27 + -27 + 3x + -3x Combine like terms: 27 + -27 = 0 -27 + -3x + 10x2 = 0 + 3x + -3x -27 + -3x + 10x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -27 + -3x + 10x2 = 0 Factor a trinomial. (-3 + -2x)(9 + -5x) = 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 '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 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 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {-1.5, 1.8}
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