(x-12)(4x+3)=0

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Solution for (x-12)(4x+3)=0 equation:


Simplifying
(x + -12)(4x + 3) = 0

Reorder the terms:
(-12 + x)(4x + 3) = 0

Reorder the terms:
(-12 + x)(3 + 4x) = 0

Multiply (-12 + x) * (3 + 4x)
(-12(3 + 4x) + x(3 + 4x)) = 0
((3 * -12 + 4x * -12) + x(3 + 4x)) = 0
((-36 + -48x) + x(3 + 4x)) = 0
(-36 + -48x + (3 * x + 4x * x)) = 0
(-36 + -48x + (3x + 4x2)) = 0

Combine like terms: -48x + 3x = -45x
(-36 + -45x + 4x2) = 0

Solving
-36 + -45x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -4x)(12 + -1x) = 0

Subproblem 1

Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-0.75, 12}

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