5x^2-25+4x^2+75=180

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Solution for 5x^2-25+4x^2+75=180 equation:


Simplifying
5x2 + -25 + 4x2 + 75 = 180

Reorder the terms:
-25 + 75 + 5x2 + 4x2 = 180

Combine like terms: -25 + 75 = 50
50 + 5x2 + 4x2 = 180

Combine like terms: 5x2 + 4x2 = 9x2
50 + 9x2 = 180

Solving
50 + 9x2 = 180

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + 9x2 = 180 + -50

Combine like terms: 50 + -50 = 0
0 + 9x2 = 180 + -50
9x2 = 180 + -50

Combine like terms: 180 + -50 = 130
9x2 = 130

Divide each side by '9'.
x2 = 14.44444444

Simplifying
x2 = 14.44444444

Take the square root of each side:
x = {-3.80058475, 3.80058475}

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