x^2-3x=1890

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Solution for x^2-3x=1890 equation:


Simplifying
x2 + -3x = 1890

Reorder the terms:
-3x + x2 = 1890

Solving
-3x + x2 = 1890

Solving for variable 'x'.

Reorder the terms:
-1890 + -3x + x2 = 1890 + -1890

Combine like terms: 1890 + -1890 = 0
-1890 + -3x + x2 = 0

Factor a trinomial.
(-42 + -1x)(45 + -1x) = 0

Subproblem 1

Set the factor '(-42 + -1x)' equal to zero and attempt to solve: Simplifying -42 + -1x = 0 Solving -42 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -1x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = 0 + 42 -1x = 0 + 42 Combine like terms: 0 + 42 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42

Subproblem 2

Set the factor '(45 + -1x)' equal to zero and attempt to solve: Simplifying 45 + -1x = 0 Solving 45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 0 + -45 -1x = 0 + -45 Combine like terms: 0 + -45 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45

Solution

x = {-42, 45}

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