(Sinx-5)(10x^2+13x-3)=0

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Solution for (Sinx-5)(10x^2+13x-3)=0 equation:


Simplifying
(Sinx + -5)(10x2 + 13x + -3) = 0

Reorder the terms:
(-5 + inxS)(10x2 + 13x + -3) = 0

Reorder the terms:
(-5 + inxS)(-3 + 13x + 10x2) = 0

Multiply (-5 + inxS) * (-3 + 13x + 10x2)
(-5(-3 + 13x + 10x2) + inxS(-3 + 13x + 10x2)) = 0
((-3 * -5 + 13x * -5 + 10x2 * -5) + inxS(-3 + 13x + 10x2)) = 0
((15 + -65x + -50x2) + inxS(-3 + 13x + 10x2)) = 0
(15 + -65x + -50x2 + (-3 * inxS + 13x * inxS + 10x2 * inxS)) = 0
(15 + -65x + -50x2 + (-3inxS + 13inx2S + 10inx3S)) = 0

Reorder the terms:
(15 + -3inxS + 13inx2S + 10inx3S + -65x + -50x2) = 0
(15 + -3inxS + 13inx2S + 10inx3S + -65x + -50x2) = 0

Solving
15 + -3inxS + 13inx2S + 10inx3S + -65x + -50x2 = 0

Solving for variable 'i'.

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

Add '-15' to each side of the equation.
15 + -3inxS + 13inx2S + 10inx3S + -65x + -15 + -50x2 = 0 + -15

Reorder the terms:
15 + -15 + -3inxS + 13inx2S + 10inx3S + -65x + -50x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -3inxS + 13inx2S + 10inx3S + -65x + -50x2 = 0 + -15
-3inxS + 13inx2S + 10inx3S + -65x + -50x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-3inxS + 13inx2S + 10inx3S + -65x + -50x2 = -15

Add '65x' to each side of the equation.
-3inxS + 13inx2S + 10inx3S + -65x + 65x + -50x2 = -15 + 65x

Combine like terms: -65x + 65x = 0
-3inxS + 13inx2S + 10inx3S + 0 + -50x2 = -15 + 65x
-3inxS + 13inx2S + 10inx3S + -50x2 = -15 + 65x

Add '50x2' to each side of the equation.
-3inxS + 13inx2S + 10inx3S + -50x2 + 50x2 = -15 + 65x + 50x2

Combine like terms: -50x2 + 50x2 = 0
-3inxS + 13inx2S + 10inx3S + 0 = -15 + 65x + 50x2
-3inxS + 13inx2S + 10inx3S = -15 + 65x + 50x2

Reorder the terms:
15 + -3inxS + 13inx2S + 10inx3S + -65x + -50x2 = -15 + 65x + 50x2 + 15 + -65x + -50x2

Reorder the terms:
15 + -3inxS + 13inx2S + 10inx3S + -65x + -50x2 = -15 + 15 + 65x + -65x + 50x2 + -50x2

Combine like terms: -15 + 15 = 0
15 + -3inxS + 13inx2S + 10inx3S + -65x + -50x2 = 0 + 65x + -65x + 50x2 + -50x2
15 + -3inxS + 13inx2S + 10inx3S + -65x + -50x2 = 65x + -65x + 50x2 + -50x2

Combine like terms: 65x + -65x = 0
15 + -3inxS + 13inx2S + 10inx3S + -65x + -50x2 = 0 + 50x2 + -50x2
15 + -3inxS + 13inx2S + 10inx3S + -65x + -50x2 = 50x2 + -50x2

Combine like terms: 50x2 + -50x2 = 0
15 + -3inxS + 13inx2S + 10inx3S + -65x + -50x2 = 0

The solution to this equation could not be determined.

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