(4x-3)(-2x-7)=0

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Solution for (4x-3)(-2x-7)=0 equation: 


Simplifying
(4x + -3)(-2x + -7) = 0

Reorder the terms:
(-3 + 4x)(-2x + -7) = 0

Reorder the terms:
(-3 + 4x)(-7 + -2x) = 0

Multiply (-3 + 4x) * (-7 + -2x)
(-3(-7 + -2x) + 4x * (-7 + -2x)) = 0
((-7 * -3 + -2x * -3) + 4x * (-7 + -2x)) = 0
((21 + 6x) + 4x * (-7 + -2x)) = 0
(21 + 6x + (-7 * 4x + -2x * 4x)) = 0
(21 + 6x + (-28x + -8x2)) = 0

Combine like terms: 6x + -28x = -22x
(21 + -22x + -8x2) = 0

Solving
21 + -22x + -8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -4x)(7 + 2x) = 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 '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 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 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {0.75, -3.5}

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