5x^2+1=4x^2+10

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Solution for 5x^2+1=4x^2+10 equation: 


Simplifying
5x2 + 1 = 4x2 + 10

Reorder the terms:
1 + 5x2 = 4x2 + 10

Reorder the terms:
1 + 5x2 = 10 + 4x2

Solving
1 + 5x2 = 10 + 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.
1 + 5x2 + -4x2 = 10 + 4x2 + -4x2

Combine like terms: 5x2 + -4x2 = 1x2
1 + 1x2 = 10 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
1 + 1x2 = 10 + 0
1 + 1x2 = 10

Add '-1' to each side of the equation.
1 + -1 + 1x2 = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 1x2 = 10 + -1
1x2 = 10 + -1

Combine like terms: 10 + -1 = 9
1x2 = 9

Divide each side by '1'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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