(x^2+x)(2x+5)+3=x(2x+5)

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


Simplifying
(x2 + x)(2x + 5) + 3 = x(2x + 5)

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

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

Multiply (x + x2) * (5 + 2x)
(x(5 + 2x) + x2(5 + 2x)) + 3 = x(2x + 5)
((5 * x + 2x * x) + x2(5 + 2x)) + 3 = x(2x + 5)
((5x + 2x2) + x2(5 + 2x)) + 3 = x(2x + 5)
(5x + 2x2 + (5 * x2 + 2x * x2)) + 3 = x(2x + 5)
(5x + 2x2 + (5x2 + 2x3)) + 3 = x(2x + 5)

Combine like terms: 2x2 + 5x2 = 7x2
(5x + 7x2 + 2x3) + 3 = x(2x + 5)

Reorder the terms:
3 + 5x + 7x2 + 2x3 = x(2x + 5)

Reorder the terms:
3 + 5x + 7x2 + 2x3 = x(5 + 2x)
3 + 5x + 7x2 + 2x3 = (5 * x + 2x * x)
3 + 5x + 7x2 + 2x3 = (5x + 2x2)

Add '-5x' to each side of the equation.
3 + 5x + 7x2 + -5x + 2x3 = 5x + -5x + 2x2

Reorder the terms:
3 + 5x + -5x + 7x2 + 2x3 = 5x + -5x + 2x2

Combine like terms: 5x + -5x = 0
3 + 0 + 7x2 + 2x3 = 5x + -5x + 2x2
3 + 7x2 + 2x3 = 5x + -5x + 2x2

Combine like terms: 5x + -5x = 0
3 + 7x2 + 2x3 = 0 + 2x2
3 + 7x2 + 2x3 = 2x2

Solving
3 + 7x2 + 2x3 = 2x2

Solving for variable 'x'.

Reorder the terms:
3 + 7x2 + -2x2 + 2x3 = 2x2 + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
3 + 5x2 + 2x3 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3 + 5x2 + 2x3 = 0

The solution to this equation could not be determined.

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