9*(x-1)=(4x-3)*(4x+3)

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Solution for 9*(x-1)=(4x-3)*(4x+3) equation: 


Simplifying
9(x + -1) = (4x + -3)(4x + 3)

Reorder the terms:
9(-1 + x) = (4x + -3)(4x + 3)
(-1 * 9 + x * 9) = (4x + -3)(4x + 3)
(-9 + 9x) = (4x + -3)(4x + 3)

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

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

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

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

Add '9' to each side of the equation.
-9 + 9 + 9x = -9 + 9 + 16x2

Combine like terms: -9 + 9 = 0
0 + 9x = -9 + 9 + 16x2
9x = -9 + 9 + 16x2

Combine like terms: -9 + 9 = 0
9x = 0 + 16x2
9x = 16x2

Solving
9x = 16x2

Solving for variable 'x'.

Combine like terms: 16x2 + -16x2 = 0
9x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + -16x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(9 + -16x)' equal to zero and attempt to solve:

Simplifying
9 + -16x = 0

Solving
9 + -16x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -16x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -16x = 0 + -9
-16x = 0 + -9

Combine like terms: 0 + -9 = -9
-16x = -9

Divide each side by '-16'.
x = 0.5625

Simplifying
x = 0.5625
Solution
x = {0, 0.5625}

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