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

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

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

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

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

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

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

Solving
-12 + 7x + 12x2 = 0

Solving for variable 'x'.

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

Subproblem 1Set 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
Subproblem 2Set 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 = 0.75Solutionx = {-1.333333333, 0.75}`