(5x^2-3)=(4x+3)(4x-3)+9x^2+3

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Solution for (5x^2-3)=(4x+3)(4x-3)+9x^2+3 equation: 


Simplifying
(5x2 + -3) = (4x + 3)(4x + -3) + 9x2 + 3

Reorder the terms:
(-3 + 5x2) = (4x + 3)(4x + -3) + 9x2 + 3

Remove parenthesis around (-3 + 5x2)
-3 + 5x2 = (4x + 3)(4x + -3) + 9x2 + 3

Reorder the terms:
-3 + 5x2 = (3 + 4x)(4x + -3) + 9x2 + 3

Reorder the terms:
-3 + 5x2 = (3 + 4x)(-3 + 4x) + 9x2 + 3

Multiply (3 + 4x) * (-3 + 4x)
-3 + 5x2 = (3(-3 + 4x) + 4x * (-3 + 4x)) + 9x2 + 3
-3 + 5x2 = ((-3 * 3 + 4x * 3) + 4x * (-3 + 4x)) + 9x2 + 3
-3 + 5x2 = ((-9 + 12x) + 4x * (-3 + 4x)) + 9x2 + 3
-3 + 5x2 = (-9 + 12x + (-3 * 4x + 4x * 4x)) + 9x2 + 3
-3 + 5x2 = (-9 + 12x + (-12x + 16x2)) + 9x2 + 3

Combine like terms: 12x + -12x = 0
-3 + 5x2 = (-9 + 0 + 16x2) + 9x2 + 3
-3 + 5x2 = (-9 + 16x2) + 9x2 + 3

Reorder the terms:
-3 + 5x2 = -9 + 3 + 16x2 + 9x2

Combine like terms: -9 + 3 = -6
-3 + 5x2 = -6 + 16x2 + 9x2

Combine like terms: 16x2 + 9x2 = 25x2
-3 + 5x2 = -6 + 25x2

Solving
-3 + 5x2 = -6 + 25x2

Solving for variable 'x'.

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

Add '-25x2' to each side of the equation.
-3 + 5x2 + -25x2 = -6 + 25x2 + -25x2

Combine like terms: 5x2 + -25x2 = -20x2
-3 + -20x2 = -6 + 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
-3 + -20x2 = -6 + 0
-3 + -20x2 = -6

Add '3' to each side of the equation.
-3 + 3 + -20x2 = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -20x2 = -6 + 3
-20x2 = -6 + 3

Combine like terms: -6 + 3 = -3
-20x2 = -3

Divide each side by '-20'.
x2 = 0.15

Simplifying
x2 = 0.15

Take the square root of each side:
x = {-0.387298335, 0.387298335}

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