4x+4x^2=x

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Solution for 4x+4x^2=x equation:


Simplifying
4x + 4x2 = x

Solving
4x + 4x2 = x

Solving for variable 'x'.

Reorder the terms:
4x + -1x + 4x2 = x + -1x

Combine like terms: 4x + -1x = 3x
3x + 4x2 = x + -1x

Combine like terms: x + -1x = 0
3x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 4x) = 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 '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Solution

x = {0, -0.75}

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