(7-3x)(5+7x)=

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Solution for (7-3x)(5+7x)= equation: 


Simplifying
(7 + -3x)(5 + 7x) = 0

Multiply (7 + -3x) * (5 + 7x)
(7(5 + 7x) + -3x * (5 + 7x)) = 0
((5 * 7 + 7x * 7) + -3x * (5 + 7x)) = 0
((35 + 49x) + -3x * (5 + 7x)) = 0
(35 + 49x + (5 * -3x + 7x * -3x)) = 0
(35 + 49x + (-15x + -21x2)) = 0

Combine like terms: 49x + -15x = 34x
(35 + 34x + -21x2) = 0

Solving
35 + 34x + -21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -3x)(5 + 7x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + 7x)' equal to zero and attempt to solve:

Simplifying
5 + 7x = 0

Solving
5 + 7x = 0

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

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

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

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

Divide each side by '7'.
x = -0.7142857143

Simplifying
x = -0.7142857143
Solution
x = {2.333333333, -0.7142857143}

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