25x^2-30x-7=-7

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Solution for 25x^2-30x-7=-7 equation:


Simplifying
25x2 + -30x + -7 = -7

Reorder the terms:
-7 + -30x + 25x2 = -7

Add '7' to each side of the equation.
-7 + -30x + 7 + 25x2 = -7 + 7

Reorder the terms:
-7 + 7 + -30x + 25x2 = -7 + 7

Combine like terms: -7 + 7 = 0
0 + -30x + 25x2 = -7 + 7
-30x + 25x2 = -7 + 7

Combine like terms: -7 + 7 = 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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