4x^2-3=7x^2-51

Solution for 4x^2-3=7x^2-51 equation:

Simplifying
4x2 + -3 = 7x2 + -51

Reorder the terms:
-3 + 4x2 = 7x2 + -51

Reorder the terms:
-3 + 4x2 = -51 + 7x2

Solving
-3 + 4x2 = -51 + 7x2

Solving for variable 'x'.

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

Add '-7x2' to each side of the equation.
-3 + 4x2 + -7x2 = -51 + 7x2 + -7x2

Combine like terms: 4x2 + -7x2 = -3x2
-3 + -3x2 = -51 + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-3 + -3x2 = -51 + 0
-3 + -3x2 = -51

Add '3' to each side of the equation.
-3 + 3 + -3x2 = -51 + 3

Combine like terms: -3 + 3 = 0
0 + -3x2 = -51 + 3
-3x2 = -51 + 3

Combine like terms: -51 + 3 = -48
-3x2 = -48

Divide each side by '-3'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}