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Simplifying 4x2 + -29x + 42 = 0 Reorder the terms: 42 + -29x + 4x2 = 0 Solving 42 + -29x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(21 + -4x) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(21 + -4x)' equal to zero and attempt to solve: Simplifying 21 + -4x = 0 Solving 21 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -4x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = 0 + -21 -4x = 0 + -21 Combine like terms: 0 + -21 = -21 -4x = -21 Divide each side by '-4'. x = 5.25 Simplifying x = 5.25Solution
x = {2, 5.25}
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