5x^2+x-4=24+x-2x^2

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Solution for 5x^2+x-4=24+x-2x^2 equation: 


Simplifying
5x2 + x + -4 = 24 + x + -2x2

Reorder the terms:
-4 + x + 5x2 = 24 + x + -2x2

Add '-1x' to each side of the equation.
-4 + x + -1x + 5x2 = 24 + x + -1x + -2x2

Combine like terms: x + -1x = 0
-4 + 0 + 5x2 = 24 + x + -1x + -2x2
-4 + 5x2 = 24 + x + -1x + -2x2

Combine like terms: x + -1x = 0
-4 + 5x2 = 24 + 0 + -2x2
-4 + 5x2 = 24 + -2x2

Solving
-4 + 5x2 = 24 + -2x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x2' to each side of the equation.
-4 + 5x2 + 2x2 = 24 + -2x2 + 2x2

Combine like terms: 5x2 + 2x2 = 7x2
-4 + 7x2 = 24 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-4 + 7x2 = 24 + 0
-4 + 7x2 = 24

Add '4' to each side of the equation.
-4 + 4 + 7x2 = 24 + 4

Combine like terms: -4 + 4 = 0
0 + 7x2 = 24 + 4
7x2 = 24 + 4

Combine like terms: 24 + 4 = 28
7x2 = 28

Divide each side by '7'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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