10x=exp(x)

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Solution for 10x=exp(x) equation:


Simplifying
10x = exp(x)

Multiply epx * x
10x = epx2

Solving
10x = epx2

Solving for variable 'x'.

Reorder the terms:
-1epx2 + 10x = epx2 + -1epx2

Combine like terms: epx2 + -1epx2 = 0
-1epx2 + 10x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1epx + 10) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-1epx + 10)' equal to zero and attempt to solve: Simplifying -1epx + 10 = 0 Reorder the terms: 10 + -1epx = 0 Solving 10 + -1epx = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1epx = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1epx = 0 + -10 -1epx = 0 + -10 Combine like terms: 0 + -10 = -10 -1epx = -10 Divide each side by '-1ep'. x = 10e-1p-1 Simplifying x = 10e-1p-1

Solution

x = {0, 10e-1p-1}

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