1-x^2=5x^2-35

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Solution for 1-x^2=5x^2-35 equation: 


Simplifying
1 + -1x2 = 5x2 + -35

Reorder the terms:
1 + -1x2 = -35 + 5x2

Solving
1 + -1x2 = -35 + 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.
1 + -1x2 + -5x2 = -35 + 5x2 + -5x2

Combine like terms: -1x2 + -5x2 = -6x2
1 + -6x2 = -35 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
1 + -6x2 = -35 + 0
1 + -6x2 = -35

Add '-1' to each side of the equation.
1 + -1 + -6x2 = -35 + -1

Combine like terms: 1 + -1 = 0
0 + -6x2 = -35 + -1
-6x2 = -35 + -1

Combine like terms: -35 + -1 = -36
-6x2 = -36

Divide each side by '-6'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}

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