-5X^2+5X-4=-X^2-7X+5

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Solution for -5X^2+5X-4=-X^2-7X+5 equation:


Simplifying
-5X2 + 5X + -4 = -1X2 + -7X + 5

Reorder the terms:
-4 + 5X + -5X2 = -1X2 + -7X + 5

Reorder the terms:
-4 + 5X + -5X2 = 5 + -7X + -1X2

Solving
-4 + 5X + -5X2 = 5 + -7X + -1X2

Solving for variable 'X'.

Reorder the terms:
-4 + -5 + 5X + 7X + -5X2 + X2 = 5 + -7X + -1X2 + -5 + 7X + X2

Combine like terms: -4 + -5 = -9
-9 + 5X + 7X + -5X2 + X2 = 5 + -7X + -1X2 + -5 + 7X + X2

Combine like terms: 5X + 7X = 12X
-9 + 12X + -5X2 + X2 = 5 + -7X + -1X2 + -5 + 7X + X2

Combine like terms: -5X2 + X2 = -4X2
-9 + 12X + -4X2 = 5 + -7X + -1X2 + -5 + 7X + X2

Reorder the terms:
-9 + 12X + -4X2 = 5 + -5 + -7X + 7X + -1X2 + X2

Combine like terms: 5 + -5 = 0
-9 + 12X + -4X2 = 0 + -7X + 7X + -1X2 + X2
-9 + 12X + -4X2 = -7X + 7X + -1X2 + X2

Combine like terms: -7X + 7X = 0
-9 + 12X + -4X2 = 0 + -1X2 + X2
-9 + 12X + -4X2 = -1X2 + X2

Combine like terms: -1X2 + X2 = 0
-9 + 12X + -4X2 = 0

Factor a trinomial.
(-3 + 2X)(3 + -2X) = 0


Subproblem 1
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

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 = {1.5, 1.5}

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