16x^2+78x=-27

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Solution for 16x^2+78x=-27 equation:


Simplifying
16x2 + 78x = -27

Reorder the terms:
78x + 16x2 = -27

Solving
78x + 16x2 = -27

Solving for variable 'x'.

Reorder the terms:
27 + 78x + 16x2 = -27 + 27

Combine like terms: -27 + 27 = 0
27 + 78x + 16x2 = 0

Factor a trinomial.
(9 + 2x)(3 + 8x) = 0

Subproblem 1

Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5

Subproblem 2

Set the factor '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375

Solution

x = {-4.5, -0.375}

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