(3x+5)(2x-3)=6x^2+x+15

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Solution for (3x+5)(2x-3)=6x^2+x+15 equation: 


Simplifying
(3x + 5)(2x + -3) = 6x2 + x + 15

Reorder the terms:
(5 + 3x)(2x + -3) = 6x2 + x + 15

Reorder the terms:
(5 + 3x)(-3 + 2x) = 6x2 + x + 15

Multiply (5 + 3x) * (-3 + 2x)
(5(-3 + 2x) + 3x * (-3 + 2x)) = 6x2 + x + 15
((-3 * 5 + 2x * 5) + 3x * (-3 + 2x)) = 6x2 + x + 15
((-15 + 10x) + 3x * (-3 + 2x)) = 6x2 + x + 15
(-15 + 10x + (-3 * 3x + 2x * 3x)) = 6x2 + x + 15
(-15 + 10x + (-9x + 6x2)) = 6x2 + x + 15

Combine like terms: 10x + -9x = 1x
(-15 + 1x + 6x2) = 6x2 + x + 15

Reorder the terms:
-15 + 1x + 6x2 = 15 + x + 6x2

Add '-6x2' to each side of the equation.
-15 + 1x + 6x2 + -6x2 = 15 + x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-15 + 1x + 0 = 15 + x + 6x2 + -6x2
-15 + 1x = 15 + x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-15 + 1x = 15 + x + 0
-15 + 1x = 15 + x

Solving
-15 + 1x = 15 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-15 + 1x + -1x = 15 + x + -1x

Combine like terms: 1x + -1x = 0
-15 + 0 = 15 + x + -1x
-15 = 15 + x + -1x

Combine like terms: x + -1x = 0
-15 = 15 + 0
-15 = 15

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

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

Combine like terms: 15 + 15 = 30
0 = 30

Simplifying
0 = 30

Combine like terms: 0 + -30 = -30
-30 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 = 0

The solution to this equation could not be determined.

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