3x^2+7=4x^2-9

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Solution for 3x^2+7=4x^2-9 equation: 


Simplifying
3x2 + 7 = 4x2 + -9

Reorder the terms:
7 + 3x2 = 4x2 + -9

Reorder the terms:
7 + 3x2 = -9 + 4x2

Solving
7 + 3x2 = -9 + 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.
7 + 3x2 + -4x2 = -9 + 4x2 + -4x2

Combine like terms: 3x2 + -4x2 = -1x2
7 + -1x2 = -9 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
7 + -1x2 = -9 + 0
7 + -1x2 = -9

Add '-7' to each side of the equation.
7 + -7 + -1x2 = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -1x2 = -9 + -7
-1x2 = -9 + -7

Combine like terms: -9 + -7 = -16
-1x2 = -16

Divide each side by '-1'.
x2 = 16

Simplifying
x2 = 16

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

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