e=.046+[e(.091)-.046]1.46

Solution for e=.046+[e(.091)-.046]1.46 equation:

Simplifying
e = 0.046 + [e(0.091) + -0.046] * 1.46

Reorder the terms for easier multiplication:
e = 0.046 + [0.091e + -0.046] * 1.46

Reorder the terms:
e = 0.046 + [-0.046 + 0.091e] * 1.46

Reorder the terms for easier multiplication:
e = 0.046 + 1.46[-0.046 + 0.091e]
e = 0.046 + [-0.046 * 1.46 + 0.091e * 1.46]
e = 0.046 + [-0.06716 + 0.13286e]

Combine like terms: 0.046 + -0.06716 = -0.02116
e = -0.02116 + 0.13286e

Solving
e = -0.02116 + 0.13286e

Solving for variable 'e'.

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

Add '-0.13286e' to each side of the equation.
e + -0.13286e = -0.02116 + 0.13286e + -0.13286e

Combine like terms: e + -0.13286e = 0.86714e
0.86714e = -0.02116 + 0.13286e + -0.13286e

Combine like terms: 0.13286e + -0.13286e = 0.00000
0.86714e = -0.02116 + 0.00000
0.86714e = -0.02116

Divide each side by '0.86714'.
e = -0.02440205734

Simplifying
e = -0.02440205734