3x(2x+7)=-9

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Solution for 3x(2x+7)=-9 equation:


Simplifying
3x(2x + 7) = -9

Reorder the terms:
3x(7 + 2x) = -9
(7 * 3x + 2x * 3x) = -9
(21x + 6x2) = -9

Solving
21x + 6x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + 21x + 6x2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 21x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 7x + 2x2) = 0

Factor a trinomial.
3((3 + x)(1 + 2x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

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 = {-3, -0.5}

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