4x(x+2)+3x(1-x)=

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Solution for 4x(x+2)+3x(1-x)= equation:


Simplifying
4x(x + 2) + 3x(1 + -1x) = 0

Reorder the terms:
4x(2 + x) + 3x(1 + -1x) = 0
(2 * 4x + x * 4x) + 3x(1 + -1x) = 0
(8x + 4x2) + 3x(1 + -1x) = 0
8x + 4x2 + (1 * 3x + -1x * 3x) = 0
8x + 4x2 + (3x + -3x2) = 0

Reorder the terms:
8x + 3x + 4x2 + -3x2 = 0

Combine like terms: 8x + 3x = 11x
11x + 4x2 + -3x2 = 0

Combine like terms: 4x2 + -3x2 = 1x2
11x + 1x2 = 0

Solving
11x + 1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + x) = 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 '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11

Solution

x = {0, -11}

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