81x^2-36x+4=4

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Solution for 81x^2-36x+4=4 equation:


Simplifying
81x2 + -36x + 4 = 4

Reorder the terms:
4 + -36x + 81x2 = 4

Add '-4' to each side of the equation.
4 + -36x + -4 + 81x2 = 4 + -4

Reorder the terms:
4 + -4 + -36x + 81x2 = 4 + -4

Combine like terms: 4 + -4 = 0
0 + -36x + 81x2 = 4 + -4
-36x + 81x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-36x + 81x2 = 0

Solving
-36x + 81x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(-4 + 9x) = 0

Ignore the factor 9.

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 '(-4 + 9x)' equal to zero and attempt to solve: Simplifying -4 + 9x = 0 Solving -4 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 0 + 4 9x = 0 + 4 Combine like terms: 0 + 4 = 4 9x = 4 Divide each side by '9'. x = 0.4444444444 Simplifying x = 0.4444444444

Solution

x = {0, 0.4444444444}

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