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

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Solution for -3(x+4)(x-1)=0 equation:


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

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

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

Multiply (4 + x) * (-1 + x)
-3(4(-1 + x) + x(-1 + x)) = 0
-3((-1 * 4 + x * 4) + x(-1 + x)) = 0
-3((-4 + 4x) + x(-1 + x)) = 0
-3(-4 + 4x + (-1 * x + x * x)) = 0
-3(-4 + 4x + (-1x + x2)) = 0

Combine like terms: 4x + -1x = 3x
-3(-4 + 3x + x2) = 0
(-4 * -3 + 3x * -3 + x2 * -3) = 0
(12 + -9x + -3x2) = 0

Solving
12 + -9x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + -3x + -1x2) = 0

Factor a trinomial.
3((1 + -1x)(4 + x)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {1, -4}

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