5x^2+x+8=3x^2+x+30

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Solution for 5x^2+x+8=3x^2+x+30 equation: 


Simplifying
5x2 + x + 8 = 3x2 + x + 30

Reorder the terms:
8 + x + 5x2 = 3x2 + x + 30

Reorder the terms:
8 + x + 5x2 = 30 + x + 3x2

Add '-1x' to each side of the equation.
8 + x + -1x + 5x2 = 30 + x + -1x + 3x2

Combine like terms: x + -1x = 0
8 + 0 + 5x2 = 30 + x + -1x + 3x2
8 + 5x2 = 30 + x + -1x + 3x2

Combine like terms: x + -1x = 0
8 + 5x2 = 30 + 0 + 3x2
8 + 5x2 = 30 + 3x2

Solving
8 + 5x2 = 30 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
8 + 5x2 + -3x2 = 30 + 3x2 + -3x2

Combine like terms: 5x2 + -3x2 = 2x2
8 + 2x2 = 30 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
8 + 2x2 = 30 + 0
8 + 2x2 = 30

Add '-8' to each side of the equation.
8 + -8 + 2x2 = 30 + -8

Combine like terms: 8 + -8 = 0
0 + 2x2 = 30 + -8
2x2 = 30 + -8

Combine like terms: 30 + -8 = 22
2x2 = 22

Divide each side by '2'.
x2 = 11

Simplifying
x2 = 11

Take the square root of each side:
x = {-3.31662479, 3.31662479}

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