x^2+100=29x^2

Solution for x^2+100=29x^2 equation:

Simplifying
x2 + 100 = 29x2

Reorder the terms:
100 + x2 = 29x2

Solving
100 + x2 = 29x2

Solving for variable 'x'.

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

Add '-29x2' to each side of the equation.
100 + x2 + -29x2 = 29x2 + -29x2

Combine like terms: x2 + -29x2 = -28x2
100 + -28x2 = 29x2 + -29x2

Combine like terms: 29x2 + -29x2 = 0
100 + -28x2 = 0

Add '-100' to each side of the equation.
100 + -100 + -28x2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -28x2 = 0 + -100
-28x2 = 0 + -100

Combine like terms: 0 + -100 = -100
-28x2 = -100

Divide each side by '-28'.
x2 = 3.571428571

Simplifying
x2 = 3.571428571

Take the square root of each side:
x = {-1.889822365, 1.889822365}