25x^2-24x-9=-7x^2+12x-18

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Solution for 25x^2-24x-9=-7x^2+12x-18 equation: 


Simplifying
25x2 + -24x + -9 = -7x2 + 12x + -18

Reorder the terms:
-9 + -24x + 25x2 = -7x2 + 12x + -18

Reorder the terms:
-9 + -24x + 25x2 = -18 + 12x + -7x2

Solving
-9 + -24x + 25x2 = -18 + 12x + -7x2

Solving for variable 'x'.

Reorder the terms:
-9 + 18 + -24x + -12x + 25x2 + 7x2 = -18 + 12x + -7x2 + 18 + -12x + 7x2

Combine like terms: -9 + 18 = 9
9 + -24x + -12x + 25x2 + 7x2 = -18 + 12x + -7x2 + 18 + -12x + 7x2

Combine like terms: -24x + -12x = -36x
9 + -36x + 25x2 + 7x2 = -18 + 12x + -7x2 + 18 + -12x + 7x2

Combine like terms: 25x2 + 7x2 = 32x2
9 + -36x + 32x2 = -18 + 12x + -7x2 + 18 + -12x + 7x2

Reorder the terms:
9 + -36x + 32x2 = -18 + 18 + 12x + -12x + -7x2 + 7x2

Combine like terms: -18 + 18 = 0
9 + -36x + 32x2 = 0 + 12x + -12x + -7x2 + 7x2
9 + -36x + 32x2 = 12x + -12x + -7x2 + 7x2

Combine like terms: 12x + -12x = 0
9 + -36x + 32x2 = 0 + -7x2 + 7x2
9 + -36x + 32x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
9 + -36x + 32x2 = 0

Factor a trinomial.
(3 + -8x)(3 + -4x) = 0


Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 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 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {0.375, 0.75}

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