35x^2+61x+8=(7x+1)(5x+8)

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Solution for 35x^2+61x+8=(7x+1)(5x+8) equation:


Simplifying
35x2 + 61x + 8 = (7x + 1)(5x + 8)

Reorder the terms:
8 + 61x + 35x2 = (7x + 1)(5x + 8)

Reorder the terms:
8 + 61x + 35x2 = (1 + 7x)(5x + 8)

Reorder the terms:
8 + 61x + 35x2 = (1 + 7x)(8 + 5x)

Multiply (1 + 7x) * (8 + 5x)
8 + 61x + 35x2 = (1(8 + 5x) + 7x * (8 + 5x))
8 + 61x + 35x2 = ((8 * 1 + 5x * 1) + 7x * (8 + 5x))
8 + 61x + 35x2 = ((8 + 5x) + 7x * (8 + 5x))
8 + 61x + 35x2 = (8 + 5x + (8 * 7x + 5x * 7x))
8 + 61x + 35x2 = (8 + 5x + (56x + 35x2))

Combine like terms: 5x + 56x = 61x
8 + 61x + 35x2 = (8 + 61x + 35x2)

Add '-8' to each side of the equation.
8 + 61x + -8 + 35x2 = 8 + 61x + -8 + 35x2

Reorder the terms:
8 + -8 + 61x + 35x2 = 8 + 61x + -8 + 35x2

Combine like terms: 8 + -8 = 0
0 + 61x + 35x2 = 8 + 61x + -8 + 35x2
61x + 35x2 = 8 + 61x + -8 + 35x2

Reorder the terms:
61x + 35x2 = 8 + -8 + 61x + 35x2

Combine like terms: 8 + -8 = 0
61x + 35x2 = 0 + 61x + 35x2
61x + 35x2 = 61x + 35x2

Add '-61x' to each side of the equation.
61x + -61x + 35x2 = 61x + -61x + 35x2

Combine like terms: 61x + -61x = 0
0 + 35x2 = 61x + -61x + 35x2
35x2 = 61x + -61x + 35x2

Combine like terms: 61x + -61x = 0
35x2 = 0 + 35x2
35x2 = 35x2

Add '-35x2' to each side of the equation.
35x2 + -35x2 = 35x2 + -35x2

Combine like terms: 35x2 + -35x2 = 0
0 = 35x2 + -35x2

Combine like terms: 35x2 + -35x2 = 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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