(-x-7)(3x+1)=

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Solution for (-x-7)(3x+1)= equation:


Simplifying
(-1x + -7)(3x + 1) = 0

Reorder the terms:
(-7 + -1x)(3x + 1) = 0

Reorder the terms:
(-7 + -1x)(1 + 3x) = 0

Multiply (-7 + -1x) * (1 + 3x)
(-7(1 + 3x) + -1x * (1 + 3x)) = 0
((1 * -7 + 3x * -7) + -1x * (1 + 3x)) = 0
((-7 + -21x) + -1x * (1 + 3x)) = 0
(-7 + -21x + (1 * -1x + 3x * -1x)) = 0
(-7 + -21x + (-1x + -3x2)) = 0

Combine like terms: -21x + -1x = -22x
(-7 + -22x + -3x2) = 0

Solving
-7 + -22x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + 22x + 3x2) = 0

Factor a trinomial.
-1((7 + x)(1 + 3x)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Solution

x = {-7, -0.3333333333}

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