(2x+a)*(x+b)=2x^2+7x+3

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Solution for (2x+a)*(x+b)=2x^2+7x+3 equation: 


Simplifying
(2x + a)(x + b) = 2x2 + 7x + 3

Reorder the terms:
(a + 2x)(x + b) = 2x2 + 7x + 3

Reorder the terms:
(a + 2x)(b + x) = 2x2 + 7x + 3

Multiply (a + 2x) * (b + x)
(a(b + x) + 2x * (b + x)) = 2x2 + 7x + 3
((b * a + x * a) + 2x * (b + x)) = 2x2 + 7x + 3
((ab + ax) + 2x * (b + x)) = 2x2 + 7x + 3
(ab + ax + (b * 2x + x * 2x)) = 2x2 + 7x + 3
(ab + ax + (2bx + 2x2)) = 2x2 + 7x + 3
(ab + ax + 2bx + 2x2) = 2x2 + 7x + 3

Reorder the terms:
ab + ax + 2bx + 2x2 = 3 + 7x + 2x2

Add '-2x2' to each side of the equation.
ab + ax + 2bx + 2x2 + -2x2 = 3 + 7x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
ab + ax + 2bx + 0 = 3 + 7x + 2x2 + -2x2
ab + ax + 2bx = 3 + 7x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
ab + ax + 2bx = 3 + 7x + 0
ab + ax + 2bx = 3 + 7x

Solving
ab + ax + 2bx = 3 + 7x

Solving for variable 'a'.

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

Add '-2bx' to each side of the equation.
ab + ax + 2bx + -2bx = 3 + -2bx + 7x

Combine like terms: 2bx + -2bx = 0
ab + ax + 0 = 3 + -2bx + 7x
ab + ax = 3 + -2bx + 7x

Reorder the terms:
-3 + ab + ax + 2bx + -7x = 3 + -2bx + 7x + -3 + 2bx + -7x

Reorder the terms:
-3 + ab + ax + 2bx + -7x = 3 + -3 + -2bx + 2bx + 7x + -7x

Combine like terms: 3 + -3 = 0
-3 + ab + ax + 2bx + -7x = 0 + -2bx + 2bx + 7x + -7x
-3 + ab + ax + 2bx + -7x = -2bx + 2bx + 7x + -7x

Combine like terms: -2bx + 2bx = 0
-3 + ab + ax + 2bx + -7x = 0 + 7x + -7x
-3 + ab + ax + 2bx + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + ab + ax + 2bx + -7x = 0

The solution to this equation could not be determined.

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