6x^2+9x=-55x

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Solution for 6x^2+9x=-55x equation:


Simplifying
6x2 + 9x = -55x

Reorder the terms:
9x + 6x2 = -55x

Solving
9x + 6x2 = -55x

Solving for variable 'x'.

Reorder the terms:
9x + 55x + 6x2 = -55x + 55x

Combine like terms: 9x + 55x = 64x
64x + 6x2 = -55x + 55x

Combine like terms: -55x + 55x = 0
64x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(32 + 3x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(32 + 3x)' equal to zero and attempt to solve: Simplifying 32 + 3x = 0 Solving 32 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 3x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = 0 + -32 3x = 0 + -32 Combine like terms: 0 + -32 = -32 3x = -32 Divide each side by '3'. x = -10.66666667 Simplifying x = -10.66666667

Solution

x = {0, -10.66666667}

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