9x^2+30x=10(3x+5)-25

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Solution for 9x^2+30x=10(3x+5)-25 equation: 


Simplifying
9x2 + 30x = 10(3x + 5) + -25

Reorder the terms:
30x + 9x2 = 10(3x + 5) + -25

Reorder the terms:
30x + 9x2 = 10(5 + 3x) + -25
30x + 9x2 = (5 * 10 + 3x * 10) + -25
30x + 9x2 = (50 + 30x) + -25

Reorder the terms:
30x + 9x2 = 50 + -25 + 30x

Combine like terms: 50 + -25 = 25
30x + 9x2 = 25 + 30x

Add '-30x' to each side of the equation.
30x + -30x + 9x2 = 25 + 30x + -30x

Combine like terms: 30x + -30x = 0
0 + 9x2 = 25 + 30x + -30x
9x2 = 25 + 30x + -30x

Combine like terms: 30x + -30x = 0
9x2 = 25 + 0
9x2 = 25

Solving
9x2 = 25

Solving for variable 'x'.

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

Divide each side by '9'.
x2 = 2.777777778

Simplifying
x2 = 2.777777778

Take the square root of each side:
x = {-1.666666667, 1.666666667}

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