7x^2-x=336

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Solution for 7x^2-x=336 equation:


Simplifying
7x2 + -1x = 336

Reorder the terms:
-1x + 7x2 = 336

Solving
-1x + 7x2 = 336

Solving for variable 'x'.

Reorder the terms:
-336 + -1x + 7x2 = 336 + -336

Combine like terms: 336 + -336 = 0
-336 + -1x + 7x2 = 0

Factor a trinomial.
(-48 + -7x)(7 + -1x) = 0

Subproblem 1

Set the factor '(-48 + -7x)' equal to zero and attempt to solve: Simplifying -48 + -7x = 0 Solving -48 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -7x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -7x = 0 + 48 -7x = 0 + 48 Combine like terms: 0 + 48 = 48 -7x = 48 Divide each side by '-7'. x = -6.857142857 Simplifying x = -6.857142857

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 = {-6.857142857, 7}

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