x(3x-1)+x(4-x)=

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Solution for x(3x-1)+x(4-x)= equation:


Simplifying
x(3x + -1) + x(4 + -1x) = 0

Reorder the terms:
x(-1 + 3x) + x(4 + -1x) = 0
(-1 * x + 3x * x) + x(4 + -1x) = 0
(-1x + 3x2) + x(4 + -1x) = 0
-1x + 3x2 + (4 * x + -1x * x) = 0
-1x + 3x2 + (4x + -1x2) = 0

Reorder the terms:
-1x + 4x + 3x2 + -1x2 = 0

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

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

Solving
3x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Solution

x = {0, -1.5}

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