(10a+7)(3a-7)=0

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Solution for (10a+7)(3a-7)=0 equation: 


Simplifying
(10a + 7)(3a + -7) = 0

Reorder the terms:
(7 + 10a)(3a + -7) = 0

Reorder the terms:
(7 + 10a)(-7 + 3a) = 0

Multiply (7 + 10a) * (-7 + 3a)
(7(-7 + 3a) + 10a * (-7 + 3a)) = 0
((-7 * 7 + 3a * 7) + 10a * (-7 + 3a)) = 0
((-49 + 21a) + 10a * (-7 + 3a)) = 0
(-49 + 21a + (-7 * 10a + 3a * 10a)) = 0
(-49 + 21a + (-70a + 30a2)) = 0

Combine like terms: 21a + -70a = -49a
(-49 + -49a + 30a2) = 0

Solving
-49 + -49a + 30a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-7 + -10a)(7 + -3a) = 0


Subproblem 1
Set the factor '(-7 + -10a)' equal to zero and attempt to solve:

Simplifying
-7 + -10a = 0

Solving
-7 + -10a = 0

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

Add '7' to each side of the equation.
-7 + 7 + -10a = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -10a = 0 + 7
-10a = 0 + 7

Combine like terms: 0 + 7 = 7
-10a = 7

Divide each side by '-10'.
a = -0.7

Simplifying
a = -0.7

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

Simplifying
7 + -3a = 0

Solving
7 + -3a = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3a = 0 + -7

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

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

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

Simplifying
a = 2.333333333
Solution
a = {-0.7, 2.333333333}

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