6x^2-x=40

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Solution for 6x^2-x=40 equation:


Simplifying
6x2 + -1x = 40

Reorder the terms:
-1x + 6x2 = 40

Solving
-1x + 6x2 = 40

Solving for variable 'x'.

Reorder the terms:
-40 + -1x + 6x2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + -1x + 6x2 = 0

Factor a trinomial.
(-5 + -2x)(8 + -3x) = 0

Subproblem 1

Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5

Subproblem 2

Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667

Solution

x = {-2.5, 2.666666667}

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