e^10r-7=56

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Solution for e^10r-7=56 equation:


Simplifying
e10r + -7 = 56

Reorder the terms:
-7 + e10r = 56

Solving
-7 + e10r = 56

Solving for variable 'e'.

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

Add '7' to each side of the equation.
-7 + 7 + e10r = 56 + 7

Combine like terms: -7 + 7 = 0
0 + e10r = 56 + 7
e10r = 56 + 7

Combine like terms: 56 + 7 = 63
e10r = 63

Divide each side by 'r'.
e10 = 63r-1

Simplifying
e10 = 63r-1

Combine like terms: 63r-1 + -63r-1 = 0
e10 + -63r-1 = 0

Factor out the Greatest Common Factor (GCF), 'r-1'.
r-1(e10r + -63) = 0

Subproblem 1

Set the factor 'r-1' equal to zero and attempt to solve: Simplifying r-1 = 0 Solving r-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1r-1' to each side of the equation. r-1 + -1r-1 = 0 + -1r-1 Remove the zero: 0 = -1r-1 Simplifying 0 = -1r-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(e10r + -63)' equal to zero and attempt to solve: Simplifying e10r + -63 = 0 Reorder the terms: -63 + e10r = 0 Solving -63 + e10r = 0 Move all terms containing e to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + e10r = 0 + 63 Combine like terms: -63 + 63 = 0 0 + e10r = 0 + 63 e10r = 0 + 63 Combine like terms: 0 + 63 = 63 e10r = 63 Divide each side by 'r'. e10 = 63r-1 Simplifying e10 = 63r-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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