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Simplifying 6x2 + -17x + 10 = 3 Reorder the terms: 10 + -17x + 6x2 = 3 Solving 10 + -17x + 6x2 = 3 Solving for variable 'x'. Reorder the terms: 10 + -3 + -17x + 6x2 = 3 + -3 Combine like terms: 10 + -3 = 7 7 + -17x + 6x2 = 3 + -3 Combine like terms: 3 + -3 = 0 7 + -17x + 6x2 = 0 Factor a trinomial. (1 + -2x)(7 + -3x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {0.5, 2.333333333}
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