4x^2-x=663

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Solution for 4x^2-x=663 equation:


Simplifying
4x2 + -1x = 663

Reorder the terms:
-1x + 4x2 = 663

Solving
-1x + 4x2 = 663

Solving for variable 'x'.

Reorder the terms:
-663 + -1x + 4x2 = 663 + -663

Combine like terms: 663 + -663 = 0
-663 + -1x + 4x2 = 0

Factor a trinomial.
(-51 + -4x)(13 + -1x) = 0

Subproblem 1

Set the factor '(-51 + -4x)' equal to zero and attempt to solve: Simplifying -51 + -4x = 0 Solving -51 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -4x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -4x = 0 + 51 -4x = 0 + 51 Combine like terms: 0 + 51 = 51 -4x = 51 Divide each side by '-4'. x = -12.75 Simplifying x = -12.75

Subproblem 2

Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13

Solution

x = {-12.75, 13}

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