8-3x^2+x=100-4x^2+x

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Solution for 8-3x^2+x=100-4x^2+x equation: 


Simplifying
8 + -3x2 + x = 100 + -4x2 + x

Reorder the terms:
8 + x + -3x2 = 100 + -4x2 + x

Reorder the terms:
8 + x + -3x2 = 100 + x + -4x2

Add '-1x' to each side of the equation.
8 + x + -1x + -3x2 = 100 + x + -1x + -4x2

Combine like terms: x + -1x = 0
8 + 0 + -3x2 = 100 + x + -1x + -4x2
8 + -3x2 = 100 + x + -1x + -4x2

Combine like terms: x + -1x = 0
8 + -3x2 = 100 + 0 + -4x2
8 + -3x2 = 100 + -4x2

Solving
8 + -3x2 = 100 + -4x2

Solving for variable 'x'.

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

Add '4x2' to each side of the equation.
8 + -3x2 + 4x2 = 100 + -4x2 + 4x2

Combine like terms: -3x2 + 4x2 = 1x2
8 + 1x2 = 100 + -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
8 + 1x2 = 100 + 0
8 + 1x2 = 100

Add '-8' to each side of the equation.
8 + -8 + 1x2 = 100 + -8

Combine like terms: 8 + -8 = 0
0 + 1x2 = 100 + -8
1x2 = 100 + -8

Combine like terms: 100 + -8 = 92
1x2 = 92

Divide each side by '1'.
x2 = 92

Simplifying
x2 = 92

Take the square root of each side:
x = {-9.591663047, 9.591663047}

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