(5x+6)(9x+7)=45x^2+89x+42

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Solution for (5x+6)(9x+7)=45x^2+89x+42 equation: 


Simplifying
(5x + 6)(9x + 7) = 45x2 + 89x + 42

Reorder the terms:
(6 + 5x)(9x + 7) = 45x2 + 89x + 42

Reorder the terms:
(6 + 5x)(7 + 9x) = 45x2 + 89x + 42

Multiply (6 + 5x) * (7 + 9x)
(6(7 + 9x) + 5x * (7 + 9x)) = 45x2 + 89x + 42
((7 * 6 + 9x * 6) + 5x * (7 + 9x)) = 45x2 + 89x + 42
((42 + 54x) + 5x * (7 + 9x)) = 45x2 + 89x + 42
(42 + 54x + (7 * 5x + 9x * 5x)) = 45x2 + 89x + 42
(42 + 54x + (35x + 45x2)) = 45x2 + 89x + 42

Combine like terms: 54x + 35x = 89x
(42 + 89x + 45x2) = 45x2 + 89x + 42

Reorder the terms:
42 + 89x + 45x2 = 42 + 89x + 45x2

Add '-42' to each side of the equation.
42 + 89x + -42 + 45x2 = 42 + 89x + -42 + 45x2

Reorder the terms:
42 + -42 + 89x + 45x2 = 42 + 89x + -42 + 45x2

Combine like terms: 42 + -42 = 0
0 + 89x + 45x2 = 42 + 89x + -42 + 45x2
89x + 45x2 = 42 + 89x + -42 + 45x2

Reorder the terms:
89x + 45x2 = 42 + -42 + 89x + 45x2

Combine like terms: 42 + -42 = 0
89x + 45x2 = 0 + 89x + 45x2
89x + 45x2 = 89x + 45x2

Add '-89x' to each side of the equation.
89x + -89x + 45x2 = 89x + -89x + 45x2

Combine like terms: 89x + -89x = 0
0 + 45x2 = 89x + -89x + 45x2
45x2 = 89x + -89x + 45x2

Combine like terms: 89x + -89x = 0
45x2 = 0 + 45x2
45x2 = 45x2

Add '-45x2' to each side of the equation.
45x2 + -45x2 = 45x2 + -45x2

Combine like terms: 45x2 + -45x2 = 0
0 = 45x2 + -45x2

Combine like terms: 45x2 + -45x2 = 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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