7x(5x+10)=x

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Solution for 7x(5x+10)=x equation:


Simplifying
7x(5x + 10) = x

Reorder the terms:
7x(10 + 5x) = x
(10 * 7x + 5x * 7x) = x
(70x + 35x2) = x

Solving
70x + 35x2 = x

Solving for variable 'x'.

Reorder the terms:
70x + -1x + 35x2 = x + -1x

Combine like terms: 70x + -1x = 69x
69x + 35x2 = x + -1x

Combine like terms: x + -1x = 0
69x + 35x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(69 + 35x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(69 + 35x)' equal to zero and attempt to solve: Simplifying 69 + 35x = 0 Solving 69 + 35x = 0 Move all terms containing x to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 35x = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 35x = 0 + -69 35x = 0 + -69 Combine like terms: 0 + -69 = -69 35x = -69 Divide each side by '35'. x = -1.971428571 Simplifying x = -1.971428571

Solution

x = {0, -1.971428571}

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