(x+5)*(x+2)=x^2+7x+10

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Solution for (x+5)*(x+2)=x^2+7x+10 equation:


Simplifying
(x + 5)(x + 2) = x2 + 7x + 10

Reorder the terms:
(5 + x)(x + 2) = x2 + 7x + 10

Reorder the terms:
(5 + x)(2 + x) = x2 + 7x + 10

Multiply (5 + x) * (2 + x)
(5(2 + x) + x(2 + x)) = x2 + 7x + 10
((2 * 5 + x * 5) + x(2 + x)) = x2 + 7x + 10
((10 + 5x) + x(2 + x)) = x2 + 7x + 10
(10 + 5x + (2 * x + x * x)) = x2 + 7x + 10
(10 + 5x + (2x + x2)) = x2 + 7x + 10

Combine like terms: 5x + 2x = 7x
(10 + 7x + x2) = x2 + 7x + 10

Reorder the terms:
10 + 7x + x2 = 10 + 7x + x2

Add '-10' to each side of the equation.
10 + 7x + -10 + x2 = 10 + 7x + -10 + x2

Reorder the terms:
10 + -10 + 7x + x2 = 10 + 7x + -10 + x2

Combine like terms: 10 + -10 = 0
0 + 7x + x2 = 10 + 7x + -10 + x2
7x + x2 = 10 + 7x + -10 + x2

Reorder the terms:
7x + x2 = 10 + -10 + 7x + x2

Combine like terms: 10 + -10 = 0
7x + x2 = 0 + 7x + x2
7x + x2 = 7x + x2

Add '-7x' to each side of the equation.
7x + -7x + x2 = 7x + -7x + x2

Combine like terms: 7x + -7x = 0
0 + x2 = 7x + -7x + x2
x2 = 7x + -7x + x2

Combine like terms: 7x + -7x = 0
x2 = 0 + x2
x2 = x2

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

Combine like terms: x2 + -1x2 = 0
0 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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