(cx^2+3x-10)(x+2)=

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Solution for (cx^2+3x-10)(x+2)= equation:


Simplifying
(cx2 + 3x + -10)(x + 2) = 0

Reorder the terms:
(-10 + cx2 + 3x)(x + 2) = 0

Reorder the terms:
(-10 + cx2 + 3x)(2 + x) = 0

Multiply (-10 + cx2 + 3x) * (2 + x)
(-10(2 + x) + cx2(2 + x) + 3x * (2 + x)) = 0
((2 * -10 + x * -10) + cx2(2 + x) + 3x * (2 + x)) = 0
((-20 + -10x) + cx2(2 + x) + 3x * (2 + x)) = 0
(-20 + -10x + (2 * cx2 + x * cx2) + 3x * (2 + x)) = 0
(-20 + -10x + (2cx2 + cx3) + 3x * (2 + x)) = 0
(-20 + -10x + 2cx2 + cx3 + (2 * 3x + x * 3x)) = 0
(-20 + -10x + 2cx2 + cx3 + (6x + 3x2)) = 0

Reorder the terms:
(-20 + 2cx2 + cx3 + -10x + 6x + 3x2) = 0

Combine like terms: -10x + 6x = -4x
(-20 + 2cx2 + cx3 + -4x + 3x2) = 0

Solving
-20 + 2cx2 + cx3 + -4x + 3x2 = 0

Solving for variable 'c'.

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

Add '20' to each side of the equation.
-20 + 2cx2 + cx3 + -4x + 20 + 3x2 = 0 + 20

Reorder the terms:
-20 + 20 + 2cx2 + cx3 + -4x + 3x2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 2cx2 + cx3 + -4x + 3x2 = 0 + 20
2cx2 + cx3 + -4x + 3x2 = 0 + 20

Combine like terms: 0 + 20 = 20
2cx2 + cx3 + -4x + 3x2 = 20

Add '4x' to each side of the equation.
2cx2 + cx3 + -4x + 4x + 3x2 = 20 + 4x

Combine like terms: -4x + 4x = 0
2cx2 + cx3 + 0 + 3x2 = 20 + 4x
2cx2 + cx3 + 3x2 = 20 + 4x

Add '-3x2' to each side of the equation.
2cx2 + cx3 + 3x2 + -3x2 = 20 + 4x + -3x2

Combine like terms: 3x2 + -3x2 = 0
2cx2 + cx3 + 0 = 20 + 4x + -3x2
2cx2 + cx3 = 20 + 4x + -3x2

Reorder the terms:
-20 + 2cx2 + cx3 + -4x + 3x2 = 20 + 4x + -3x2 + -20 + -4x + 3x2

Reorder the terms:
-20 + 2cx2 + cx3 + -4x + 3x2 = 20 + -20 + 4x + -4x + -3x2 + 3x2

Combine like terms: 20 + -20 = 0
-20 + 2cx2 + cx3 + -4x + 3x2 = 0 + 4x + -4x + -3x2 + 3x2
-20 + 2cx2 + cx3 + -4x + 3x2 = 4x + -4x + -3x2 + 3x2

Combine like terms: 4x + -4x = 0
-20 + 2cx2 + cx3 + -4x + 3x2 = 0 + -3x2 + 3x2
-20 + 2cx2 + cx3 + -4x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-20 + 2cx2 + cx3 + -4x + 3x2 = 0

The solution to this equation could not be determined.

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