(x-25)(x-4)=0

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Solution for (x-25)(x-4)=0 equation:


Simplifying
(x + -25)(x + -4) = 0

Reorder the terms:
(-25 + x)(x + -4) = 0

Reorder the terms:
(-25 + x)(-4 + x) = 0

Multiply (-25 + x) * (-4 + x)
(-25(-4 + x) + x(-4 + x)) = 0
((-4 * -25 + x * -25) + x(-4 + x)) = 0
((100 + -25x) + x(-4 + x)) = 0
(100 + -25x + (-4 * x + x * x)) = 0
(100 + -25x + (-4x + x2)) = 0

Combine like terms: -25x + -4x = -29x
(100 + -29x + x2) = 0

Solving
100 + -29x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(25 + -1x) = 0

Subproblem 1

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Subproblem 2

Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25

Solution

x = {4, 25}

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