25x^2-18x=12x-9

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Solution for 25x^2-18x=12x-9 equation:


Simplifying
25x2 + -18x = 12x + -9

Reorder the terms:
-18x + 25x2 = 12x + -9

Reorder the terms:
-18x + 25x2 = -9 + 12x

Solving
-18x + 25x2 = -9 + 12x

Solving for variable 'x'.

Reorder the terms:
9 + -18x + -12x + 25x2 = -9 + 12x + 9 + -12x

Combine like terms: -18x + -12x = -30x
9 + -30x + 25x2 = -9 + 12x + 9 + -12x

Reorder the terms:
9 + -30x + 25x2 = -9 + 9 + 12x + -12x

Combine like terms: -9 + 9 = 0
9 + -30x + 25x2 = 0 + 12x + -12x
9 + -30x + 25x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
9 + -30x + 25x2 = 0

Factor a trinomial.
(3 + -5x)(3 + -5x) = 0

Subproblem 1

Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6

Subproblem 2

Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6

Solution

x = {0.6, 0.6}

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