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(x+7)^3=9*(x+7)

(x+7)^3=9*(x+7) equation

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Numerical solution:

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The solution

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(x + 7)  = 9*(x + 7)
(x+7)3=9(x+7)\left(x + 7\right)^{3} = 9 \left(x + 7\right)
Simplify
Detail solution
Given the equation:
(x+7)3=9(x+7)\left(x + 7\right)^{3} = 9 \left(x + 7\right)
transform:
Take common factor from the equation
(x+4)(x+7)(x+10)=0\left(x + 4\right) \left(x + 7\right) \left(x + 10\right) = 0
Because the right side of the equation is zero, then the solution of the equation is exists if at least one of the multipliers in the left side of the equation equal to zero.
We get the equations
x+4=0x + 4 = 0
x+7=0x + 7 = 0
x+10=0x + 10 = 0
solve the resulting equation:
1.
x+4=0x + 4 = 0
Move free summands (without x)
from left part to right part, we given:
x=−4x = -4
We get the answer: x1 = -4
2.
x+7=0x + 7 = 0
Move free summands (without x)
from left part to right part, we given:
x=−7x = -7
We get the answer: x2 = -7
3.
x+10=0x + 10 = 0
Move free summands (without x)
from left part to right part, we given:
x=−10x = -10
We get the answer: x3 = -10
The final answer:
x1=−4x_{1} = -4
x2=−7x_{2} = -7
x3=−10x_{3} = -10
The graph
-20.0-17.5-15.0-12.5-10.0-7.5-5.0-2.50.02.55.0-50005000
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
-10 - 7 - 4
(−10−7)−4\left(-10 - 7\right) - 4 
=
-21
−21-21 
product
-10*(-7)*(-4)
(−4)(−−70)\left(-4\right) \left(- -70\right) 
=
-280
−280-280 
-280
Rapid solution [src] 
x1 = -10
x1=−10x_{1} = -10 
x2 = -7
x2=−7x_{2} = -7 
x3 = -4
x3=−4x_{3} = -4 
x3 = -4
Numerical answer [src] 
x1 = -10.0
x2 = -7.0
x3 = -4.0
x3 = -4.0
The graph
(x+7)^3=9*(x+7) equation
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