(4-3x)(7+4x)=0

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Solution for (4-3x)(7+4x)=0 equation: 


Simplifying
(4 + -3x)(7 + 4x) = 0

Multiply (4 + -3x) * (7 + 4x)
(4(7 + 4x) + -3x * (7 + 4x)) = 0
((7 * 4 + 4x * 4) + -3x * (7 + 4x)) = 0
((28 + 16x) + -3x * (7 + 4x)) = 0
(28 + 16x + (7 * -3x + 4x * -3x)) = 0
(28 + 16x + (-21x + -12x2)) = 0

Combine like terms: 16x + -21x = -5x
(28 + -5x + -12x2) = 0

Solving
28 + -5x + -12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -3x)(7 + 4x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + 4x)' equal to zero and attempt to solve:

Simplifying
7 + 4x = 0

Solving
7 + 4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 0 + -7
4x = 0 + -7

Combine like terms: 0 + -7 = -7
4x = -7

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75
Solution
x = {1.333333333, -1.75}

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