-4(x)=2x^2-3x

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


Simplifying
-4(x) = 2x2 + -3x

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

Solving
-4x = -3x + 2x2

Solving for variable 'x'.

Combine like terms: -4x + 3x = -1x
-1x + -2x2 = -3x + 2x2 + 3x + -2x2

Reorder the terms:
-1x + -2x2 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
-1x + -2x2 = 0 + 2x2 + -2x2
-1x + -2x2 = 2x2 + -2x2

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

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 2x) = 0

Ignore the factor -1.

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 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5

Solution

x = {0, -0.5}

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