-3x^2+4x-4=-4

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Solution for -3x^2+4x-4=-4 equation:


Simplifying
-3x2 + 4x + -4 = -4

Reorder the terms:
-4 + 4x + -3x2 = -4

Add '4' to each side of the equation.
-4 + 4x + 4 + -3x2 = -4 + 4

Reorder the terms:
-4 + 4 + 4x + -3x2 = -4 + 4

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

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

Solving
4x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -3x) = 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 '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Solution

x = {0, 1.333333333}

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