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

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Solution for (7-3x)(7+5x)=0 equation: 


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

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

Combine like terms: 35x + -21x = 14x
(49 + 14x + -15x2) = 0

Solving
49 + 14x + -15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -3x)(7 + 5x) = 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 '(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
Solution
x = {2.333333333, -1.4}

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