(2x-3)(3x+10)=

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Solution for (2x-3)(3x+10)= equation: 


Simplifying
(2x + -3)(3x + 10) = 0

Reorder the terms:
(-3 + 2x)(3x + 10) = 0

Reorder the terms:
(-3 + 2x)(10 + 3x) = 0

Multiply (-3 + 2x) * (10 + 3x)
(-3(10 + 3x) + 2x * (10 + 3x)) = 0
((10 * -3 + 3x * -3) + 2x * (10 + 3x)) = 0
((-30 + -9x) + 2x * (10 + 3x)) = 0
(-30 + -9x + (10 * 2x + 3x * 2x)) = 0
(-30 + -9x + (20x + 6x2)) = 0

Combine like terms: -9x + 20x = 11x
(-30 + 11x + 6x2) = 0

Solving
-30 + 11x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -3x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve:

Simplifying
-10 + -3x = 0

Solving
-10 + -3x = 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 + -3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 0 + 10
-3x = 0 + 10

Combine like terms: 0 + 10 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-3.333333333, 1.5}

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