solve 0.05x0.06(1500-x)=83.5
Copy and compute
If the first "x" is for multiplication....
0.05 * 0.06(1500 - x) = 83.5
0.05 * (90 - 0.06x) = 83.5
4.5 - 0.003x = 83.5
-0.003x = 79
x = 79 / -0.003
x = -26333.3333
This should be checked.
0.05 * 0.06(1500 - x) = 83.5
0.05 * 0.06(1500 - (-26333.3333)) = 83.5
0.05 * 0.06(1500 + 26333.3333) = 83.5
0.05 * 0.06(27833.3333) = 83.5
0.05 * 1670 = 83.5
83.5 = 83.5
If the first "x" is another term with the unknown....
(0.05x)(0.06(1500 - x)) = 83.5
(0.05x)(90 - 0.06x) = 83.5
(0.05x)(90 - 0.06x) = 83.5
4.5x - 0.003x^2 = 83.5 Multiply by 1000
4500x - 3x^2 = 83500
-3x^2 + 4500x = 83500
x^2 - 1500x = -26333.3333 Complete the square
x^2 - 1500x + (-750)^2 = -26333.3333 + (-750)^2
(x - 750)(x - 750) = 536166.6667
x - 750 = +/- sqrt(536166.6667)
x - 750 = +/- (732.234)
x = +/- (732.234) + 750
x = 1482.234 and x = 17.766
I'll leave the verification of these numbers to you. I just
wanted to show how important it is to properly write out
the problem statement so there is no ambiguity.