25x^2-30x+9=9

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Solution for 25x^2-30x+9=9 equation:


Simplifying
25x2 + -30x + 9 = 9

Reorder the terms:
9 + -30x + 25x2 = 9

Add '-9' to each side of the equation.
9 + -30x + -9 + 25x2 = 9 + -9

Reorder the terms:
9 + -9 + -30x + 25x2 = 9 + -9

Combine like terms: 9 + -9 = 0
0 + -30x + 25x2 = 9 + -9
-30x + 25x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-30x + 25x2 = 0

Solving
-30x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-6 + 5x) = 0

Ignore the factor 5.

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 '(-6 + 5x)' equal to zero and attempt to solve: Simplifying -6 + 5x = 0 Solving -6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 0 + 6 5x = 0 + 6 Combine like terms: 0 + 6 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2

Solution

x = {0, 1.2}

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