x*(2*x-5)=3000

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Solution for x*(2*x-5)=3000 equation:


Simplifying
x(2x + -5) = 3000

Reorder the terms:
x(-5 + 2x) = 3000
(-5 * x + 2x * x) = 3000
(-5x + 2x2) = 3000

Solving
-5x + 2x2 = 3000

Solving for variable 'x'.

Reorder the terms:
-3000 + -5x + 2x2 = 3000 + -3000

Combine like terms: 3000 + -3000 = 0
-3000 + -5x + 2x2 = 0

Factor a trinomial.
(-75 + -2x)(40 + -1x) = 0

Subproblem 1

Set the factor '(-75 + -2x)' equal to zero and attempt to solve: Simplifying -75 + -2x = 0 Solving -75 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -2x = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -2x = 0 + 75 -2x = 0 + 75 Combine like terms: 0 + 75 = 75 -2x = 75 Divide each side by '-2'. x = -37.5 Simplifying x = -37.5

Subproblem 2

Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40

Solution

x = {-37.5, 40}

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