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

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


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

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

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

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

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

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

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

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

Solving
0 = 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.
0 + -20x = 25 + 20x + -20x
Remove the zero:
-20x = 25 + 20x + -20x

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

Divide each side by '-20'.
x = -1.25

Simplifying
x = -1.25

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