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Simplifying 10x2 = 29x + -21 Reorder the terms: 10x2 = -21 + 29x Solving 10x2 = -21 + 29x Solving for variable 'x'. Reorder the terms: 21 + -29x + 10x2 = -21 + 29x + 21 + -29x Reorder the terms: 21 + -29x + 10x2 = -21 + 21 + 29x + -29x Combine like terms: -21 + 21 = 0 21 + -29x + 10x2 = 0 + 29x + -29x 21 + -29x + 10x2 = 29x + -29x Combine like terms: 29x + -29x = 0 21 + -29x + 10x2 = 0 Factor a trinomial. (7 + -5x)(3 + -2x) = 0Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Subproblem 2
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 = 1.5Solution
x = {1.4, 1.5}
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