8x^2=40x-50

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Solution for 8x^2=40x-50 equation:


Simplifying
8x2 = 40x + -50

Reorder the terms:
8x2 = -50 + 40x

Solving
8x2 = -50 + 40x

Solving for variable 'x'.

Reorder the terms:
50 + -40x + 8x2 = -50 + 40x + 50 + -40x

Reorder the terms:
50 + -40x + 8x2 = -50 + 50 + 40x + -40x

Combine like terms: -50 + 50 = 0
50 + -40x + 8x2 = 0 + 40x + -40x
50 + -40x + 8x2 = 40x + -40x

Combine like terms: 40x + -40x = 0
50 + -40x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -20x + 4x2) = 0

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

Ignore the factor 2.

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 + -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

Solution

x = {2.5, 2.5}

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