5x^2-40x=-80

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Solution for 5x^2-40x=-80 equation:


Simplifying
5x2 + -40x = -80

Reorder the terms:
-40x + 5x2 = -80

Solving
-40x + 5x2 = -80

Solving for variable 'x'.

Reorder the terms:
80 + -40x + 5x2 = -80 + 80

Combine like terms: -80 + 80 = 0
80 + -40x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(16 + -8x + x2) = 0

Factor a trinomial.
5((4 + -1x)(4 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {4, 4}

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