5x(x^2-7)=5(x^3+5)

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


Simplifying
5x(x2 + -7) = 5(x3 + 5)

Reorder the terms:
5x(-7 + x2) = 5(x3 + 5)
(-7 * 5x + x2 * 5x) = 5(x3 + 5)
(-35x + 5x3) = 5(x3 + 5)

Reorder the terms:
-35x + 5x3 = 5(5 + x3)
-35x + 5x3 = (5 * 5 + x3 * 5)
-35x + 5x3 = (25 + 5x3)

Add '-5x3' to each side of the equation.
-35x + 5x3 + -5x3 = 25 + 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-35x + 0 = 25 + 5x3 + -5x3
-35x = 25 + 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-35x = 25 + 0
-35x = 25

Solving
-35x = 25

Solving for variable 'x'.

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

Divide each side by '-35'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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