1500=0.75*200(10x^2+0.389)

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Solution for 1500=0.75*200(10x^2+0.389) equation: 


Simplifying
1500 = 0.75 * 200(10x2 + 0.389)

Reorder the terms:
1500 = 0.75 * 200(0.389 + 10x2)

Multiply 0.75 * 200
1500 = 150(0.389 + 10x2)
1500 = (0.389 * 150 + 10x2 * 150)
1500 = (58.35 + 1500x2)

Solving
1500 = 58.35 + 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.
1500 + -1500x2 = 58.35 + 1500x2 + -1500x2

Combine like terms: 1500x2 + -1500x2 = 0
1500 + -1500x2 = 58.35 + 0
1500 + -1500x2 = 58.35

Add '-1500' to each side of the equation.
1500 + -1500 + -1500x2 = 58.35 + -1500

Combine like terms: 1500 + -1500 = 0
0 + -1500x2 = 58.35 + -1500
-1500x2 = 58.35 + -1500

Combine like terms: 58.35 + -1500 = -1441.65
-1500x2 = -1441.65

Divide each side by '-1500'.
x2 = 0.9611

Simplifying
x2 = 0.9611

Take the square root of each side:
x = {-0.980357078, 0.980357078}

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