3x^2-x=140

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Solution for 3x^2-x=140 equation:


Simplifying
3x2 + -1x = 140

Reorder the terms:
-1x + 3x2 = 140

Solving
-1x + 3x2 = 140

Solving for variable 'x'.

Reorder the terms:
-140 + -1x + 3x2 = 140 + -140

Combine like terms: 140 + -140 = 0
-140 + -1x + 3x2 = 0

Factor a trinomial.
(-20 + -3x)(7 + -1x) = 0

Subproblem 1

Set the factor '(-20 + -3x)' equal to zero and attempt to solve: Simplifying -20 + -3x = 0 Solving -20 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 0 + 20 -3x = 0 + 20 Combine like terms: 0 + 20 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-6.666666667, 7}

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