(2X-3)(X+4)=175

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Solution for (2X-3)(X+4)=175 equation: 


Simplifying
(2X + -3)(X + 4) = 175

Reorder the terms:
(-3 + 2X)(X + 4) = 175

Reorder the terms:
(-3 + 2X)(4 + X) = 175

Multiply (-3 + 2X) * (4 + X)
(-3(4 + X) + 2X * (4 + X)) = 175
((4 * -3 + X * -3) + 2X * (4 + X)) = 175
((-12 + -3X) + 2X * (4 + X)) = 175
(-12 + -3X + (4 * 2X + X * 2X)) = 175
(-12 + -3X + (8X + 2X2)) = 175

Combine like terms: -3X + 8X = 5X
(-12 + 5X + 2X2) = 175

Solving
-12 + 5X + 2X2 = 175

Solving for variable 'X'.

Reorder the terms:
-12 + -175 + 5X + 2X2 = 175 + -175

Combine like terms: -12 + -175 = -187
-187 + 5X + 2X2 = 175 + -175

Combine like terms: 175 + -175 = 0
-187 + 5X + 2X2 = 0

Factor a trinomial.
(-11 + -1X)(17 + -2X) = 0


Subproblem 1
Set the factor '(-11 + -1X)' equal to zero and attempt to solve:

Simplifying
-11 + -1X = 0

Solving
-11 + -1X = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1X = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1X = 0 + 11
-1X = 0 + 11

Combine like terms: 0 + 11 = 11
-1X = 11

Divide each side by '-1'.
X = -11

Simplifying
X = -11

Subproblem 2
Set the factor '(17 + -2X)' equal to zero and attempt to solve:

Simplifying
17 + -2X = 0

Solving
17 + -2X = 0

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

Add '-17' to each side of the equation.
17 + -17 + -2X = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -2X = 0 + -17
-2X = 0 + -17

Combine like terms: 0 + -17 = -17
-2X = -17

Divide each side by '-2'.
X = 8.5

Simplifying
X = 8.5
Solution
X = {-11, 8.5}

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