25x^2+30x+9-7(5x+3)-44=0

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Solution for 25x^2+30x+9-7(5x+3)-44=0 equation: 


Simplifying
25x2 + 30x + 9 + -7(5x + 3) + -44 = 0

Reorder the terms:
25x2 + 30x + 9 + -7(3 + 5x) + -44 = 0
25x2 + 30x + 9 + (3 * -7 + 5x * -7) + -44 = 0
25x2 + 30x + 9 + (-21 + -35x) + -44 = 0

Reorder the terms:
9 + -21 + -44 + 30x + -35x + 25x2 = 0

Combine like terms: 9 + -21 = -12
-12 + -44 + 30x + -35x + 25x2 = 0

Combine like terms: -12 + -44 = -56
-56 + 30x + -35x + 25x2 = 0

Combine like terms: 30x + -35x = -5x
-56 + -5x + 25x2 = 0

Solving
-56 + -5x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -5x)(8 + -5x) = 0


Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve:

Simplifying
-7 + -5x = 0

Solving
-7 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 0 + 7
-5x = 0 + 7

Combine like terms: 0 + 7 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-1.4, 1.6}

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