-1=4x^2-13

Solution for -1=4x^2-13 equation:

Simplifying
-1 = 4x2 + -13

Reorder the terms:
-1 = -13 + 4x2

Solving
-1 = -13 + 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 + -4x2 = -13 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-1 + -4x2 = -13 + 0
-1 + -4x2 = -13

Add '1' to each side of the equation.
-1 + 1 + -4x2 = -13 + 1

Combine like terms: -1 + 1 = 0
0 + -4x2 = -13 + 1
-4x2 = -13 + 1

Combine like terms: -13 + 1 = -12
-4x2 = -12

Divide each side by '-4'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}