(3x+7)(3x-20x+25)=0

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Solution for (3x+7)(3x-20x+25)=0 equation: 


Simplifying
(3x + 7)(3x + -20x + 25) = 0

Reorder the terms:
(7 + 3x)(3x + -20x + 25) = 0

Reorder the terms:
(7 + 3x)(25 + 3x + -20x) = 0

Combine like terms: 3x + -20x = -17x
(7 + 3x)(25 + -17x) = 0

Multiply (7 + 3x) * (25 + -17x)
(7(25 + -17x) + 3x * (25 + -17x)) = 0
((25 * 7 + -17x * 7) + 3x * (25 + -17x)) = 0
((175 + -119x) + 3x * (25 + -17x)) = 0
(175 + -119x + (25 * 3x + -17x * 3x)) = 0
(175 + -119x + (75x + -51x2)) = 0

Combine like terms: -119x + 75x = -44x
(175 + -44x + -51x2) = 0

Solving
175 + -44x + -51x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(25 + -17x)(7 + 3x) = 0


Subproblem 1
Set the factor '(25 + -17x)' equal to zero and attempt to solve:

Simplifying
25 + -17x = 0

Solving
25 + -17x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -17x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -17x = 0 + -25
-17x = 0 + -25

Combine like terms: 0 + -25 = -25
-17x = -25

Divide each side by '-17'.
x = 1.470588235

Simplifying
x = 1.470588235

Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 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 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333
Solution
x = {1.470588235, -2.333333333}

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