16x^2+16x=-4

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Solution for 16x^2+16x=-4 equation:


Simplifying
16x2 + 16x = -4

Reorder the terms:
16x + 16x2 = -4

Solving
16x + 16x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + 16x + 16x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 16x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + 4x + 4x2) = 0

Factor a trinomial.
4((1 + 2x)(1 + 2x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5

Subproblem 2

Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5

Solution

x = {-0.5, -0.5}

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