4x-2x*7x^2=8x

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Solution for 4x-2x*7x^2=8x equation:


Simplifying
4x + -2x * 7x2 = 8x

Reorder the terms for easier multiplication:
4x + -2 * 7x * x2 = 8x

Multiply -2 * 7
4x + -14x * x2 = 8x

Multiply x * x2
4x + -14x3 = 8x

Solving
4x + -14x3 = 8x

Solving for variable 'x'.

Reorder the terms:
4x + -8x + -14x3 = 8x + -8x

Combine like terms: 4x + -8x = -4x
-4x + -14x3 = 8x + -8x

Combine like terms: 8x + -8x = 0
-4x + -14x3 = 0

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(2 + 7x2) = 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 + 7x2)' equal to zero and attempt to solve: Simplifying 2 + 7x2 = 0 Solving 2 + 7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x2 = 0 + -2 7x2 = 0 + -2 Combine like terms: 0 + -2 = -2 7x2 = -2 Divide each side by '7'. x2 = -0.2857142857 Simplifying x2 = -0.2857142857 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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