4(3x^2+2)-9=8x^2+7

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Solution for 4(3x^2+2)-9=8x^2+7 equation: 


Simplifying
4(3x2 + 2) + -9 = 8x2 + 7

Reorder the terms:
4(2 + 3x2) + -9 = 8x2 + 7
(2 * 4 + 3x2 * 4) + -9 = 8x2 + 7
(8 + 12x2) + -9 = 8x2 + 7

Reorder the terms:
8 + -9 + 12x2 = 8x2 + 7

Combine like terms: 8 + -9 = -1
-1 + 12x2 = 8x2 + 7

Reorder the terms:
-1 + 12x2 = 7 + 8x2

Solving
-1 + 12x2 = 7 + 8x2

Solving for variable 'x'.

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

Add '-8x2' to each side of the equation.
-1 + 12x2 + -8x2 = 7 + 8x2 + -8x2

Combine like terms: 12x2 + -8x2 = 4x2
-1 + 4x2 = 7 + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-1 + 4x2 = 7 + 0
-1 + 4x2 = 7

Add '1' to each side of the equation.
-1 + 1 + 4x2 = 7 + 1

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

Combine like terms: 7 + 1 = 8
4x2 = 8

Divide each side by '4'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}

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