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

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


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

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

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

Multiply (4 + x) * (-3 + x)
4(4(-3 + x) + x(-3 + x)) = 0
4((-3 * 4 + x * 4) + x(-3 + x)) = 0
4((-12 + 4x) + x(-3 + x)) = 0
4(-12 + 4x + (-3 * x + x * x)) = 0
4(-12 + 4x + (-3x + x2)) = 0

Combine like terms: 4x + -3x = 1x
4(-12 + 1x + x2) = 0
(-12 * 4 + 1x * 4 + x2 * 4) = 0
(-48 + 4x + 4x2) = 0

Solving
-48 + 4x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + x + x2) = 0

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

Ignore the factor 4.

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-4, 3}

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