4=5x(4-5x)

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Solution for 4=5x(4-5x) equation:


Simplifying
4 = 5x(4 + -5x)
4 = (4 * 5x + -5x * 5x)
4 = (20x + -25x2)

Solving
4 = 20x + -25x2

Solving for variable 'x'.

Reorder the terms:
4 + -20x + 25x2 = 20x + -20x + -25x2 + 25x2

Combine like terms: 20x + -20x = 0
4 + -20x + 25x2 = 0 + -25x2 + 25x2
4 + -20x + 25x2 = -25x2 + 25x2

Combine like terms: -25x2 + 25x2 = 0
4 + -20x + 25x2 = 0

Factor a trinomial.
(2 + -5x)(2 + -5x) = 0

Subproblem 1

Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

Subproblem 2

Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

Solution

x = {0.4, 0.4}

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