(x+20)(x+30)=1064

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Solution for (x+20)(x+30)=1064 equation:


Simplifying
(x + 20)(x + 30) = 1064

Reorder the terms:
(20 + x)(x + 30) = 1064

Reorder the terms:
(20 + x)(30 + x) = 1064

Multiply (20 + x) * (30 + x)
(20(30 + x) + x(30 + x)) = 1064
((30 * 20 + x * 20) + x(30 + x)) = 1064
((600 + 20x) + x(30 + x)) = 1064
(600 + 20x + (30 * x + x * x)) = 1064
(600 + 20x + (30x + x2)) = 1064

Combine like terms: 20x + 30x = 50x
(600 + 50x + x2) = 1064

Solving
600 + 50x + x2 = 1064

Solving for variable 'x'.

Reorder the terms:
600 + -1064 + 50x + x2 = 1064 + -1064

Combine like terms: 600 + -1064 = -464
-464 + 50x + x2 = 1064 + -1064

Combine like terms: 1064 + -1064 = 0
-464 + 50x + x2 = 0

Factor a trinomial.
(-58 + -1x)(8 + -1x) = 0

Subproblem 1

Set the factor '(-58 + -1x)' equal to zero and attempt to solve: Simplifying -58 + -1x = 0 Solving -58 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + -1x = 0 + 58 Combine like terms: -58 + 58 = 0 0 + -1x = 0 + 58 -1x = 0 + 58 Combine like terms: 0 + 58 = 58 -1x = 58 Divide each side by '-1'. x = -58 Simplifying x = -58

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-58, 8}

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