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Simplifying 7x2 = 24x + -9 Reorder the terms: 7x2 = -9 + 24x Solving 7x2 = -9 + 24x Solving for variable 'x'. Reorder the terms: 9 + -24x + 7x2 = -9 + 24x + 9 + -24x Reorder the terms: 9 + -24x + 7x2 = -9 + 9 + 24x + -24x Combine like terms: -9 + 9 = 0 9 + -24x + 7x2 = 0 + 24x + -24x 9 + -24x + 7x2 = 24x + -24x Combine like terms: 24x + -24x = 0 9 + -24x + 7x2 = 0 Factor a trinomial. (3 + -7x)(3 + -1x) = 0Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0.4285714286, 3}
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