3x^2+185=(3x+5)(x+5)

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Solution for 3x^2+185=(3x+5)(x+5) equation:


Simplifying
3x2 + 185 = (3x + 5)(x + 5)

Reorder the terms:
185 + 3x2 = (3x + 5)(x + 5)

Reorder the terms:
185 + 3x2 = (5 + 3x)(x + 5)

Reorder the terms:
185 + 3x2 = (5 + 3x)(5 + x)

Multiply (5 + 3x) * (5 + x)
185 + 3x2 = (5(5 + x) + 3x * (5 + x))
185 + 3x2 = ((5 * 5 + x * 5) + 3x * (5 + x))
185 + 3x2 = ((25 + 5x) + 3x * (5 + x))
185 + 3x2 = (25 + 5x + (5 * 3x + x * 3x))
185 + 3x2 = (25 + 5x + (15x + 3x2))

Combine like terms: 5x + 15x = 20x
185 + 3x2 = (25 + 20x + 3x2)

Add '-3x2' to each side of the equation.
185 + 3x2 + -3x2 = 25 + 20x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
185 + 0 = 25 + 20x + 3x2 + -3x2
185 = 25 + 20x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
185 = 25 + 20x + 0
185 = 25 + 20x

Solving
185 = 25 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
185 + -20x = 25 + 20x + -20x

Combine like terms: 20x + -20x = 0
185 + -20x = 25 + 0
185 + -20x = 25

Add '-185' to each side of the equation.
185 + -185 + -20x = 25 + -185

Combine like terms: 185 + -185 = 0
0 + -20x = 25 + -185
-20x = 25 + -185

Combine like terms: 25 + -185 = -160
-20x = -160

Divide each side by '-20'.
x = 8

Simplifying
x = 8

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