4x^2+17x+23=(4x+1)(x+23)

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Solution for 4x^2+17x+23=(4x+1)(x+23) equation: 


Simplifying
4x2 + 17x + 23 = (4x + 1)(x + 23)

Reorder the terms:
23 + 17x + 4x2 = (4x + 1)(x + 23)

Reorder the terms:
23 + 17x + 4x2 = (1 + 4x)(x + 23)

Reorder the terms:
23 + 17x + 4x2 = (1 + 4x)(23 + x)

Multiply (1 + 4x) * (23 + x)
23 + 17x + 4x2 = (1(23 + x) + 4x * (23 + x))
23 + 17x + 4x2 = ((23 * 1 + x * 1) + 4x * (23 + x))
23 + 17x + 4x2 = ((23 + 1x) + 4x * (23 + x))
23 + 17x + 4x2 = (23 + 1x + (23 * 4x + x * 4x))
23 + 17x + 4x2 = (23 + 1x + (92x + 4x2))

Combine like terms: 1x + 92x = 93x
23 + 17x + 4x2 = (23 + 93x + 4x2)

Add '-23' to each side of the equation.
23 + 17x + -23 + 4x2 = 23 + 93x + -23 + 4x2

Reorder the terms:
23 + -23 + 17x + 4x2 = 23 + 93x + -23 + 4x2

Combine like terms: 23 + -23 = 0
0 + 17x + 4x2 = 23 + 93x + -23 + 4x2
17x + 4x2 = 23 + 93x + -23 + 4x2

Reorder the terms:
17x + 4x2 = 23 + -23 + 93x + 4x2

Combine like terms: 23 + -23 = 0
17x + 4x2 = 0 + 93x + 4x2
17x + 4x2 = 93x + 4x2

Add '-4x2' to each side of the equation.
17x + 4x2 + -4x2 = 93x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
17x + 0 = 93x + 4x2 + -4x2
17x = 93x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
17x = 93x + 0
17x = 93x

Solving
17x = 93x

Solving for variable 'x'.

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

Add '-93x' to each side of the equation.
17x + -93x = 93x + -93x

Combine like terms: 17x + -93x = -76x
-76x = 93x + -93x

Combine like terms: 93x + -93x = 0
-76x = 0

Divide each side by '-76'.
x = 0

Simplifying
x = 0

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