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

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


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

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

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

Multiply (3 + 4x) * (-4 + 3x)
(3(-4 + 3x) + 4x * (-4 + 3x)) = 0
((-4 * 3 + 3x * 3) + 4x * (-4 + 3x)) = 0
((-12 + 9x) + 4x * (-4 + 3x)) = 0
(-12 + 9x + (-4 * 4x + 3x * 4x)) = 0
(-12 + 9x + (-16x + 12x2)) = 0

Combine like terms: 9x + -16x = -7x
(-12 + -7x + 12x2) = 0

Solving
-12 + -7x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -4x)(4 + -3x) = 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 '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

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

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

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-0.75, 1.333333333}

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