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

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


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

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

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

Multiply (-3 + 2x) * (7 + -4x)
(-3(7 + -4x) + 2x * (7 + -4x)) = 0
((7 * -3 + -4x * -3) + 2x * (7 + -4x)) = 0
((-21 + 12x) + 2x * (7 + -4x)) = 0
(-21 + 12x + (7 * 2x + -4x * 2x)) = 0
(-21 + 12x + (14x + -8x2)) = 0

Combine like terms: 12x + 14x = 26x
(-21 + 26x + -8x2) = 0

Solving
-21 + 26x + -8x2 = 0

Solving for variable 'x'.

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {1.75, 1.5}

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