(4-4x)=3x^2

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Solution for (4-4x)=3x^2 equation:


Simplifying
(4 + -4x) = 3x2

Remove parenthesis around (4 + -4x)
4 + -4x = 3x2

Solving
4 + -4x = 3x2

Solving for variable 'x'.

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

Factor a trinomial.
(2 + -3x)(2 + x) = 0

Subproblem 1

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {0.6666666667, -2}

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