-2(3x+7)(3x+7)=-1058

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Solution for -2(3x+7)(3x+7)=-1058 equation: 


Simplifying
-2(3x + 7)(3x + 7) = -1058

Reorder the terms:
-2(7 + 3x)(3x + 7) = -1058

Reorder the terms:
-2(7 + 3x)(7 + 3x) = -1058

Multiply (7 + 3x) * (7 + 3x)
-2(7(7 + 3x) + 3x * (7 + 3x)) = -1058
-2((7 * 7 + 3x * 7) + 3x * (7 + 3x)) = -1058
-2((49 + 21x) + 3x * (7 + 3x)) = -1058
-2(49 + 21x + (7 * 3x + 3x * 3x)) = -1058
-2(49 + 21x + (21x + 9x2)) = -1058

Combine like terms: 21x + 21x = 42x
-2(49 + 42x + 9x2) = -1058
(49 * -2 + 42x * -2 + 9x2 * -2) = -1058
(-98 + -84x + -18x2) = -1058

Solving
-98 + -84x + -18x2 = -1058

Solving for variable 'x'.

Reorder the terms:
-98 + 1058 + -84x + -18x2 = -1058 + 1058

Combine like terms: -98 + 1058 = 960
960 + -84x + -18x2 = -1058 + 1058

Combine like terms: -1058 + 1058 = 0
960 + -84x + -18x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(160 + -14x + -3x2) = 0

Factor a trinomial.
6((16 + -3x)(10 + x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(16 + -3x)' equal to zero and attempt to solve:

Simplifying
16 + -3x = 0

Solving
16 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -16 + -3x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 0 + -16
-3x = 0 + -16

Combine like terms: 0 + -16 = -16
-3x = -16

Divide each side by '-3'.
x = 5.333333333

Simplifying
x = 5.333333333

Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {5.333333333, -10}

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