(3x-4)(9x+10)=

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Solution for (3x-4)(9x+10)= equation: 


Simplifying
(3x + -4)(9x + 10) = 0

Reorder the terms:
(-4 + 3x)(9x + 10) = 0

Reorder the terms:
(-4 + 3x)(10 + 9x) = 0

Multiply (-4 + 3x) * (10 + 9x)
(-4(10 + 9x) + 3x * (10 + 9x)) = 0
((10 * -4 + 9x * -4) + 3x * (10 + 9x)) = 0
((-40 + -36x) + 3x * (10 + 9x)) = 0
(-40 + -36x + (10 * 3x + 9x * 3x)) = 0
(-40 + -36x + (30x + 27x2)) = 0

Combine like terms: -36x + 30x = -6x
(-40 + -6x + 27x2) = 0

Solving
-40 + -6x + 27x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -9x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-10 + -9x)' equal to zero and attempt to solve:

Simplifying
-10 + -9x = 0

Solving
-10 + -9x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -9x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -9x = 0 + 10
-9x = 0 + 10

Combine like terms: 0 + 10 = 10
-9x = 10

Divide each side by '-9'.
x = -1.111111111

Simplifying
x = -1.111111111

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-1.111111111, 1.333333333}

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