x=7x(5-2x)

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


Simplifying
x = 7x(5 + -2x)
x = (5 * 7x + -2x * 7x)
x = (35x + -14x2)

Solving
x = 35x + -14x2

Solving for variable 'x'.

Combine like terms: x + -35x = -34x
-34x + 14x2 = 35x + -14x2 + -35x + 14x2

Reorder the terms:
-34x + 14x2 = 35x + -35x + -14x2 + 14x2

Combine like terms: 35x + -35x = 0
-34x + 14x2 = 0 + -14x2 + 14x2
-34x + 14x2 = -14x2 + 14x2

Combine like terms: -14x2 + 14x2 = 0
-34x + 14x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-17 + 7x) = 0

Ignore the factor 2.

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 '(-17 + 7x)' equal to zero and attempt to solve: Simplifying -17 + 7x = 0 Solving -17 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 7x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = 0 + 17 7x = 0 + 17 Combine like terms: 0 + 17 = 17 7x = 17 Divide each side by '7'. x = 2.428571429 Simplifying x = 2.428571429

Solution

x = {0, 2.428571429}

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