9x^2+48x=-64

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Solution for 9x^2+48x=-64 equation:


Simplifying
9x2 + 48x = -64

Reorder the terms:
48x + 9x2 = -64

Solving
48x + 9x2 = -64

Solving for variable 'x'.

Reorder the terms:
64 + 48x + 9x2 = -64 + 64

Combine like terms: -64 + 64 = 0
64 + 48x + 9x2 = 0

Factor a trinomial.
(8 + 3x)(8 + 3x) = 0

Subproblem 1

Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 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 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667

Subproblem 2

Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 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 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667

Solution

x = {-2.666666667, -2.666666667}

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