(-4x+7)(3x+5)=0

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Solution for (-4x+7)(3x+5)=0 equation: 


Simplifying
(-4x + 7)(3x + 5) = 0

Reorder the terms:
(7 + -4x)(3x + 5) = 0

Reorder the terms:
(7 + -4x)(5 + 3x) = 0

Multiply (7 + -4x) * (5 + 3x)
(7(5 + 3x) + -4x * (5 + 3x)) = 0
((5 * 7 + 3x * 7) + -4x * (5 + 3x)) = 0
((35 + 21x) + -4x * (5 + 3x)) = 0
(35 + 21x + (5 * -4x + 3x * -4x)) = 0
(35 + 21x + (-20x + -12x2)) = 0

Combine like terms: 21x + -20x = 1x
(35 + 1x + -12x2) = 0

Solving
35 + 1x + -12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -4x)(5 + 3x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {1.75, -1.666666667}

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