x^2-3x+2=5x^2-3x-8

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Solution for x^2-3x+2=5x^2-3x-8 equation: 


Simplifying
x2 + -3x + 2 = 5x2 + -3x + -8

Reorder the terms:
2 + -3x + x2 = 5x2 + -3x + -8

Reorder the terms:
2 + -3x + x2 = -8 + -3x + 5x2

Add '3x' to each side of the equation.
2 + -3x + 3x + x2 = -8 + -3x + 3x + 5x2

Combine like terms: -3x + 3x = 0
2 + 0 + x2 = -8 + -3x + 3x + 5x2
2 + x2 = -8 + -3x + 3x + 5x2

Combine like terms: -3x + 3x = 0
2 + x2 = -8 + 0 + 5x2
2 + x2 = -8 + 5x2

Solving
2 + x2 = -8 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
2 + x2 + -5x2 = -8 + 5x2 + -5x2

Combine like terms: x2 + -5x2 = -4x2
2 + -4x2 = -8 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
2 + -4x2 = -8 + 0
2 + -4x2 = -8

Add '-2' to each side of the equation.
2 + -2 + -4x2 = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -4x2 = -8 + -2
-4x2 = -8 + -2

Combine like terms: -8 + -2 = -10
-4x2 = -10

Divide each side by '-4'.
x2 = 2.5

Simplifying
x2 = 2.5

Take the square root of each side:
x = {-1.58113883, 1.58113883}

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