2x^2-43x+140=0

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Solution for 2x^2-43x+140=0 equation:


Simplifying
2x2 + -43x + 140 = 0

Reorder the terms:
140 + -43x + 2x2 = 0

Solving
140 + -43x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(35 + -2x) = 0

Subproblem 1

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Subproblem 2

Set the factor '(35 + -2x)' equal to zero and attempt to solve: Simplifying 35 + -2x = 0 Solving 35 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -2x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 0 + -35 -2x = 0 + -35 Combine like terms: 0 + -35 = -35 -2x = -35 Divide each side by '-2'. x = 17.5 Simplifying x = 17.5

Solution

x = {4, 17.5}

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