-5x=-2x^2+25

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Solution for -5x=-2x^2+25 equation:


Simplifying
-5x = -2x2 + 25

Reorder the terms:
-5x = 25 + -2x2

Solving
-5x = 25 + -2x2

Solving for variable 'x'.

Reorder the terms:
-25 + -5x + 2x2 = 25 + -2x2 + -25 + 2x2

Reorder the terms:
-25 + -5x + 2x2 = 25 + -25 + -2x2 + 2x2

Combine like terms: 25 + -25 = 0
-25 + -5x + 2x2 = 0 + -2x2 + 2x2
-25 + -5x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-25 + -5x + 2x2 = 0

Factor a trinomial.
(-5 + -2x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-2.5, 5}

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