3x+2x(5x)=7x+2x^5

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Solution for 3x+2x(5x)=7x+2x^5 equation:


Simplifying
3x + 2x(5x) = 7x + 2x5

Remove parenthesis around (5x)
3x + 2x * 5x = 7x + 2x5

Reorder the terms for easier multiplication:
3x + 2 * 5x * x = 7x + 2x5

Multiply 2 * 5
3x + 10x * x = 7x + 2x5

Multiply x * x
3x + 10x2 = 7x + 2x5

Solving
3x + 10x2 = 7x + 2x5

Solving for variable 'x'.

Reorder the terms:
3x + -7x + 10x2 + -2x5 = 7x + 2x5 + -7x + -2x5

Combine like terms: 3x + -7x = -4x
-4x + 10x2 + -2x5 = 7x + 2x5 + -7x + -2x5

Reorder the terms:
-4x + 10x2 + -2x5 = 7x + -7x + 2x5 + -2x5

Combine like terms: 7x + -7x = 0
-4x + 10x2 + -2x5 = 0 + 2x5 + -2x5
-4x + 10x2 + -2x5 = 2x5 + -2x5

Combine like terms: 2x5 + -2x5 = 0
-4x + 10x2 + -2x5 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-2 + 5x + -1x4) = 0

Ignore the factor 2.

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 '(-2 + 5x + -1x4)' equal to zero and attempt to solve: Simplifying -2 + 5x + -1x4 = 0 Solving -2 + 5x + -1x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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