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Simplifying 21X2 + -20X + 4 = 0 Reorder the terms: 4 + -20X + 21X2 = 0 Solving 4 + -20X + 21X2 = 0 Solving for variable 'X'. Factor a trinomial. (2 + -7X)(2 + -3X) = 0Subproblem 1
Set the factor '(2 + -7X)' equal to zero and attempt to solve: Simplifying 2 + -7X = 0 Solving 2 + -7X = 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 + -7X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7X = 0 + -2 -7X = 0 + -2 Combine like terms: 0 + -2 = -2 -7X = -2 Divide each side by '-7'. X = 0.2857142857 Simplifying X = 0.2857142857Subproblem 2
Set the factor '(2 + -3X)' equal to zero and attempt to solve: Simplifying 2 + -3X = 0 Solving 2 + -3X = 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 + -3X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3X = 0 + -2 -3X = 0 + -2 Combine like terms: 0 + -2 = -2 -3X = -2 Divide each side by '-3'. X = 0.6666666667 Simplifying X = 0.6666666667Solution
X = {0.2857142857, 0.6666666667}
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