5x^2+48x=-64

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Solution for 5x^2+48x=-64 equation:


Simplifying
5x2 + 48x = -64

Reorder the terms:
48x + 5x2 = -64

Solving
48x + 5x2 = -64

Solving for variable 'x'.

Reorder the terms:
64 + 48x + 5x2 = -64 + 64

Combine like terms: -64 + 64 = 0
64 + 48x + 5x2 = 0

Factor a trinomial.
(8 + x)(8 + 5x) = 0

Subproblem 1

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6

Solution

x = {-8, -1.6}

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