14400=0.75*200(10x^2+0.5)

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Solution for 14400=0.75*200(10x^2+0.5) equation: 


Simplifying
14400 = 0.75 * 200(10x2 + 0.5)

Reorder the terms:
14400 = 0.75 * 200(0.5 + 10x2)

Multiply 0.75 * 200
14400 = 150(0.5 + 10x2)
14400 = (0.5 * 150 + 10x2 * 150)
14400 = (75 + 1500x2)

Solving
14400 = 75 + 1500x2

Solving for variable 'x'.

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

Add '-1500x2' to each side of the equation.
14400 + -1500x2 = 75 + 1500x2 + -1500x2

Combine like terms: 1500x2 + -1500x2 = 0
14400 + -1500x2 = 75 + 0
14400 + -1500x2 = 75

Add '-14400' to each side of the equation.
14400 + -14400 + -1500x2 = 75 + -14400

Combine like terms: 14400 + -14400 = 0
0 + -1500x2 = 75 + -14400
-1500x2 = 75 + -14400

Combine like terms: 75 + -14400 = -14325
-1500x2 = -14325

Divide each side by '-1500'.
x2 = 9.55

Simplifying
x2 = 9.55

Take the square root of each side:
x = {-3.090307428, 3.090307428}

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