-1.75(q-5)3(q+5)=

Solution for -1.75(q-5)3(q+5)= equation:

Simplifying
-1.75(q + -5) * 3(q + 5) = 0

Reorder the terms:
-1.75(-5 + q) * 3(q + 5) = 0

Reorder the terms:
-1.75(-5 + q) * 3(5 + q) = 0

Reorder the terms for easier multiplication:
-1.75 * 3(-5 + q)(5 + q) = 0

Multiply -1.75 * 3
-5.25(-5 + q)(5 + q) = 0

Multiply (-5 + q) * (5 + q)
-5.25(-5(5 + q) + q(5 + q)) = 0
-5.25((5 * -5 + q * -5) + q(5 + q)) = 0
-5.25((-25 + -5q) + q(5 + q)) = 0
-5.25(-25 + -5q + (5 * q + q * q)) = 0
-5.25(-25 + -5q + (5q + q2)) = 0

Combine like terms: -5q + 5q = 0
-5.25(-25 + 0 + q2) = 0
-5.25(-25 + q2) = 0
(-25 * -5.25 + q2 * -5.25) = 0
(131.25 + -5.25q2) = 0

Solving
131.25 + -5.25q2 = 0

Solving for variable 'q'.

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

Add '-131.25' to each side of the equation.
131.25 + -131.25 + -5.25q2 = 0 + -131.25

Combine like terms: 131.25 + -131.25 = 0.00
0.00 + -5.25q2 = 0 + -131.25
-5.25q2 = 0 + -131.25

Combine like terms: 0 + -131.25 = -131.25
-5.25q2 = -131.25

Divide each side by '-5.25'.
q2 = 25

Simplifying
q2 = 25

Take the square root of each side:
q = {-5, 5}