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Simplifying 2x * 2x + -9x + 2 = 0 Reorder the terms for easier multiplication: 2 * 2x * x + -9x + 2 = 0 Multiply 2 * 2 4x * x + -9x + 2 = 0 Multiply x * x 4x2 + -9x + 2 = 0 Reorder the terms: 2 + -9x + 4x2 = 0 Solving 2 + -9x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -4x)(2 + -1x) = 0Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.25, 2}
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