(48-2x)(62-2x)=0

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Solution for (48-2x)(62-2x)=0 equation:


Simplifying
(48 + -2x)(62 + -2x) = 0

Multiply (48 + -2x) * (62 + -2x)
(48(62 + -2x) + -2x * (62 + -2x)) = 0
((62 * 48 + -2x * 48) + -2x * (62 + -2x)) = 0
((2976 + -96x) + -2x * (62 + -2x)) = 0
(2976 + -96x + (62 * -2x + -2x * -2x)) = 0
(2976 + -96x + (-124x + 4x2)) = 0

Combine like terms: -96x + -124x = -220x
(2976 + -220x + 4x2) = 0

Solving
2976 + -220x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(744 + -55x + x2) = 0

Factor a trinomial.
4((24 + -1x)(31 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24

Subproblem 2

Set the factor '(31 + -1x)' equal to zero and attempt to solve: Simplifying 31 + -1x = 0 Solving 31 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -1x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = 0 + -31 -1x = 0 + -31 Combine like terms: 0 + -31 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31

Solution

x = {24, 31}

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