(10r-4)(10r-4)=

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Solution for (10r-4)(10r-4)= equation:


Simplifying
(10r + -4)(10r + -4) = 0

Reorder the terms:
(-4 + 10r)(10r + -4) = 0

Reorder the terms:
(-4 + 10r)(-4 + 10r) = 0

Multiply (-4 + 10r) * (-4 + 10r)
(-4(-4 + 10r) + 10r * (-4 + 10r)) = 0
((-4 * -4 + 10r * -4) + 10r * (-4 + 10r)) = 0
((16 + -40r) + 10r * (-4 + 10r)) = 0
(16 + -40r + (-4 * 10r + 10r * 10r)) = 0
(16 + -40r + (-40r + 100r2)) = 0

Combine like terms: -40r + -40r = -80r
(16 + -80r + 100r2) = 0

Solving
16 + -80r + 100r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + -20r + 25r2) = 0

Factor a trinomial.
4((2 + -5r)(2 + -5r)) = 0

Ignore the factor 4.

Subproblem 1

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

Subproblem 2

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

Solution

r = {0.4, 0.4}

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