(15+2x)(2+3x)=

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Solution for (15+2x)(2+3x)= equation:


Simplifying
(15 + 2x)(2 + 3x) = 0

Multiply (15 + 2x) * (2 + 3x)
(15(2 + 3x) + 2x * (2 + 3x)) = 0
((2 * 15 + 3x * 15) + 2x * (2 + 3x)) = 0
((30 + 45x) + 2x * (2 + 3x)) = 0
(30 + 45x + (2 * 2x + 3x * 2x)) = 0
(30 + 45x + (4x + 6x2)) = 0

Combine like terms: 45x + 4x = 49x
(30 + 49x + 6x2) = 0

Solving
30 + 49x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + 2x)(2 + 3x) = 0


Subproblem 1
Set the factor '(15 + 2x)' equal to zero and attempt to solve:

Simplifying
15 + 2x = 0

Solving
15 + 2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 0 + -15
2x = 0 + -15

Combine like terms: 0 + -15 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

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

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

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-7.5, -0.6666666667}

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