(a+3)(x+b)*(2x-5)=14x*2-29x-15

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Solution for (a+3)(x+b)*(2x-5)=14x*2-29x-15 equation: 


Simplifying
(a + 3)(x + b)(2x + -5) = 14x * 2 + -29x + -15

Reorder the terms:
(3 + a)(x + b)(2x + -5) = 14x * 2 + -29x + -15

Reorder the terms:
(3 + a)(b + x)(2x + -5) = 14x * 2 + -29x + -15

Reorder the terms:
(3 + a)(b + x)(-5 + 2x) = 14x * 2 + -29x + -15

Multiply (3 + a) * (b + x)
(3(b + x) + a(b + x))(-5 + 2x) = 14x * 2 + -29x + -15
((b * 3 + x * 3) + a(b + x))(-5 + 2x) = 14x * 2 + -29x + -15
((3b + 3x) + a(b + x))(-5 + 2x) = 14x * 2 + -29x + -15
(3b + 3x + (b * a + x * a))(-5 + 2x) = 14x * 2 + -29x + -15
(3b + 3x + (ab + ax))(-5 + 2x) = 14x * 2 + -29x + -15

Reorder the terms:
(ab + ax + 3b + 3x)(-5 + 2x) = 14x * 2 + -29x + -15
(ab + ax + 3b + 3x)(-5 + 2x) = 14x * 2 + -29x + -15

Multiply (ab + ax + 3b + 3x) * (-5 + 2x)
(ab(-5 + 2x) + ax(-5 + 2x) + 3b * (-5 + 2x) + 3x * (-5 + 2x)) = 14x * 2 + -29x + -15
((-5 * ab + 2x * ab) + ax(-5 + 2x) + 3b * (-5 + 2x) + 3x * (-5 + 2x)) = 14x * 2 + -29x + -15
((-5ab + 2abx) + ax(-5 + 2x) + 3b * (-5 + 2x) + 3x * (-5 + 2x)) = 14x * 2 + -29x + -15
(-5ab + 2abx + (-5 * ax + 2x * ax) + 3b * (-5 + 2x) + 3x * (-5 + 2x)) = 14x * 2 + -29x + -15
(-5ab + 2abx + (-5ax + 2ax2) + 3b * (-5 + 2x) + 3x * (-5 + 2x)) = 14x * 2 + -29x + -15
(-5ab + 2abx + -5ax + 2ax2 + (-5 * 3b + 2x * 3b) + 3x * (-5 + 2x)) = 14x * 2 + -29x + -15
(-5ab + 2abx + -5ax + 2ax2 + (-15b + 6bx) + 3x * (-5 + 2x)) = 14x * 2 + -29x + -15
(-5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + (-5 * 3x + 2x * 3x)) = 14x * 2 + -29x + -15
(-5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + (-15x + 6x2)) = 14x * 2 + -29x + -15
(-5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -15x + 6x2) = 14x * 2 + -29x + -15

Reorder the terms for easier multiplication:
-5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -15x + 6x2 = 14 * 2x + -29x + -15

Multiply 14 * 2
-5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -15x + 6x2 = 28x + -29x + -15

Reorder the terms:
-5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -15x + 6x2 = -15 + 28x + -29x

Combine like terms: 28x + -29x = -1x
-5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -15x + 6x2 = -15 + -1x

Solving
-5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -15x + 6x2 = -15 + -1x

Solving for variable 'a'.

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

Add '15b' to each side of the equation.
-5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -15x + 15b + 6x2 = -15 + 15b + -1x

Reorder the terms:
-5ab + 2abx + -5ax + 2ax2 + -15b + 15b + 6bx + -15x + 6x2 = -15 + 15b + -1x

Combine like terms: -15b + 15b = 0
-5ab + 2abx + -5ax + 2ax2 + 0 + 6bx + -15x + 6x2 = -15 + 15b + -1x
-5ab + 2abx + -5ax + 2ax2 + 6bx + -15x + 6x2 = -15 + 15b + -1x

Add '-6bx' to each side of the equation.
-5ab + 2abx + -5ax + 2ax2 + 6bx + -15x + -6bx + 6x2 = -15 + 15b + -6bx + -1x

Reorder the terms:
-5ab + 2abx + -5ax + 2ax2 + 6bx + -6bx + -15x + 6x2 = -15 + 15b + -6bx + -1x

Combine like terms: 6bx + -6bx = 0
-5ab + 2abx + -5ax + 2ax2 + 0 + -15x + 6x2 = -15 + 15b + -6bx + -1x
-5ab + 2abx + -5ax + 2ax2 + -15x + 6x2 = -15 + 15b + -6bx + -1x

Add '15x' to each side of the equation.
-5ab + 2abx + -5ax + 2ax2 + -15x + 15x + 6x2 = -15 + 15b + -6bx + -1x + 15x

Combine like terms: -15x + 15x = 0
-5ab + 2abx + -5ax + 2ax2 + 0 + 6x2 = -15 + 15b + -6bx + -1x + 15x
-5ab + 2abx + -5ax + 2ax2 + 6x2 = -15 + 15b + -6bx + -1x + 15x

Combine like terms: -1x + 15x = 14x
-5ab + 2abx + -5ax + 2ax2 + 6x2 = -15 + 15b + -6bx + 14x

Add '-6x2' to each side of the equation.
-5ab + 2abx + -5ax + 2ax2 + 6x2 + -6x2 = -15 + 15b + -6bx + 14x + -6x2

Combine like terms: 6x2 + -6x2 = 0
-5ab + 2abx + -5ax + 2ax2 + 0 = -15 + 15b + -6bx + 14x + -6x2
-5ab + 2abx + -5ax + 2ax2 = -15 + 15b + -6bx + 14x + -6x2

Reorder the terms:
15 + -5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -14x + 6x2 = -15 + 15b + -6bx + 14x + -6x2 + 15 + -15b + 6bx + -14x + 6x2

Reorder the terms:
15 + -5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -14x + 6x2 = -15 + 15 + 15b + -15b + -6bx + 6bx + 14x + -14x + -6x2 + 6x2

Combine like terms: -15 + 15 = 0
15 + -5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -14x + 6x2 = 0 + 15b + -15b + -6bx + 6bx + 14x + -14x + -6x2 + 6x2
15 + -5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -14x + 6x2 = 15b + -15b + -6bx + 6bx + 14x + -14x + -6x2 + 6x2

Combine like terms: 15b + -15b = 0
15 + -5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -14x + 6x2 = 0 + -6bx + 6bx + 14x + -14x + -6x2 + 6x2
15 + -5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -14x + 6x2 = -6bx + 6bx + 14x + -14x + -6x2 + 6x2

Combine like terms: -6bx + 6bx = 0
15 + -5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -14x + 6x2 = 0 + 14x + -14x + -6x2 + 6x2
15 + -5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -14x + 6x2 = 14x + -14x + -6x2 + 6x2

Combine like terms: 14x + -14x = 0
15 + -5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -14x + 6x2 = 0 + -6x2 + 6x2
15 + -5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -14x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
15 + -5ab + 2abx + -5ax + 2ax2 + -15b + 6bx + -14x + 6x2 = 0

The solution to this equation could not be determined.

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