48x^2+24x=-3

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Solution for 48x^2+24x=-3 equation:


Simplifying
48x2 + 24x = -3

Reorder the terms:
24x + 48x2 = -3

Solving
24x + 48x2 = -3

Solving for variable 'x'.

Reorder the terms:
3 + 24x + 48x2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 24x + 48x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + 8x + 16x2) = 0

Factor a trinomial.
3((1 + 4x)(1 + 4x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25

Subproblem 2

Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25

Solution

x = {-0.25, -0.25}

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