25x^2=12(5x-3)

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Solution for 25x^2=12(5x-3) equation:


Simplifying
25x2 = 12(5x + -3)

Reorder the terms:
25x2 = 12(-3 + 5x)
25x2 = (-3 * 12 + 5x * 12)
25x2 = (-36 + 60x)

Solving
25x2 = -36 + 60x

Solving for variable 'x'.

Reorder the terms:
36 + -60x + 25x2 = -36 + 60x + 36 + -60x

Reorder the terms:
36 + -60x + 25x2 = -36 + 36 + 60x + -60x

Combine like terms: -36 + 36 = 0
36 + -60x + 25x2 = 0 + 60x + -60x
36 + -60x + 25x2 = 60x + -60x

Combine like terms: 60x + -60x = 0
36 + -60x + 25x2 = 0

Factor a trinomial.
(6 + -5x)(6 + -5x) = 0

Subproblem 1

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

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 = {1.2, 1.2}

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