5x^2-3x-4=-4-2x

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Solution for 5x^2-3x-4=-4-2x equation:


Simplifying
5x2 + -3x + -4 = -4 + -2x

Reorder the terms:
-4 + -3x + 5x2 = -4 + -2x

Add '4' to each side of the equation.
-4 + -3x + 4 + 5x2 = -4 + 4 + -2x

Reorder the terms:
-4 + 4 + -3x + 5x2 = -4 + 4 + -2x

Combine like terms: -4 + 4 = 0
0 + -3x + 5x2 = -4 + 4 + -2x
-3x + 5x2 = -4 + 4 + -2x

Combine like terms: -4 + 4 = 0
-3x + 5x2 = 0 + -2x
-3x + 5x2 = -2x

Solving
-3x + 5x2 = -2x

Solving for variable 'x'.

Reorder the terms:
-3x + 2x + 5x2 = -2x + 2x

Combine like terms: -3x + 2x = -1x
-1x + 5x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-1x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 5x) = 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 '(-1 + 5x)' equal to zero and attempt to solve: Simplifying -1 + 5x = 0 Solving -1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 0 + 1 5x = 0 + 1 Combine like terms: 0 + 1 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2

Solution

x = {0, 0.2}

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