5(X^2-9x)-2(3x+4)+7x^2=

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Solution for 5(X^2-9x)-2(3x+4)+7x^2= equation: 


Simplifying
5(X2 + -9x) + -2(3x + 4) + 7x2 = 0
(X2 * 5 + -9x * 5) + -2(3x + 4) + 7x2 = 0
(5X2 + -45x) + -2(3x + 4) + 7x2 = 0

Reorder the terms:
5X2 + -45x + -2(4 + 3x) + 7x2 = 0
5X2 + -45x + (4 * -2 + 3x * -2) + 7x2 = 0
5X2 + -45x + (-8 + -6x) + 7x2 = 0

Reorder the terms:
-8 + 5X2 + -45x + -6x + 7x2 = 0

Combine like terms: -45x + -6x = -51x
-8 + 5X2 + -51x + 7x2 = 0

Solving
-8 + 5X2 + -51x + 7x2 = 0

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + 5X2 + -51x + 8 + 7x2 = 0 + 8

Reorder the terms:
-8 + 8 + 5X2 + -51x + 7x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5X2 + -51x + 7x2 = 0 + 8
5X2 + -51x + 7x2 = 0 + 8

Combine like terms: 0 + 8 = 8
5X2 + -51x + 7x2 = 8

Add '51x' to each side of the equation.
5X2 + -51x + 51x + 7x2 = 8 + 51x

Combine like terms: -51x + 51x = 0
5X2 + 0 + 7x2 = 8 + 51x
5X2 + 7x2 = 8 + 51x

Add '-7x2' to each side of the equation.
5X2 + 7x2 + -7x2 = 8 + 51x + -7x2

Combine like terms: 7x2 + -7x2 = 0
5X2 + 0 = 8 + 51x + -7x2
5X2 = 8 + 51x + -7x2

Divide each side by '5'.
X2 = 1.6 + 10.2x + -1.4x2

Simplifying
X2 = 1.6 + 10.2x + -1.4x2

Reorder the terms:
-1.6 + X2 + -10.2x + 1.4x2 = 1.6 + 10.2x + -1.4x2 + -1.6 + -10.2x + 1.4x2

Reorder the terms:
-1.6 + X2 + -10.2x + 1.4x2 = 1.6 + -1.6 + 10.2x + -10.2x + -1.4x2 + 1.4x2

Combine like terms: 1.6 + -1.6 = 0.0
-1.6 + X2 + -10.2x + 1.4x2 = 0.0 + 10.2x + -10.2x + -1.4x2 + 1.4x2
-1.6 + X2 + -10.2x + 1.4x2 = 10.2x + -10.2x + -1.4x2 + 1.4x2

Combine like terms: 10.2x + -10.2x = 0.0
-1.6 + X2 + -10.2x + 1.4x2 = 0.0 + -1.4x2 + 1.4x2
-1.6 + X2 + -10.2x + 1.4x2 = -1.4x2 + 1.4x2

Combine like terms: -1.4x2 + 1.4x2 = 0.0
-1.6 + X2 + -10.2x + 1.4x2 = 0.0

The solution to this equation could not be determined.

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