4x*x-x-390=0

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Solution for 4x*x-x-390=0 equation:


Simplifying
4x * x + -1x + -390 = 0

Multiply x * x
4x2 + -1x + -390 = 0

Reorder the terms:
-390 + -1x + 4x2 = 0

Solving
-390 + -1x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-39 + -4x)(10 + -1x) = 0

Subproblem 1

Set the factor '(-39 + -4x)' equal to zero and attempt to solve: Simplifying -39 + -4x = 0 Solving -39 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -4x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -4x = 0 + 39 -4x = 0 + 39 Combine like terms: 0 + 39 = 39 -4x = 39 Divide each side by '-4'. x = -9.75 Simplifying x = -9.75

Subproblem 2

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Solution

x = {-9.75, 10}

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