-3(2x+7)(1-x)=0

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Solution for -3(2x+7)(1-x)=0 equation: 


Simplifying
-3(2x + 7)(1 + -1x) = 0

Reorder the terms:
-3(7 + 2x)(1 + -1x) = 0

Multiply (7 + 2x) * (1 + -1x)
-3(7(1 + -1x) + 2x * (1 + -1x)) = 0
-3((1 * 7 + -1x * 7) + 2x * (1 + -1x)) = 0
-3((7 + -7x) + 2x * (1 + -1x)) = 0
-3(7 + -7x + (1 * 2x + -1x * 2x)) = 0
-3(7 + -7x + (2x + -2x2)) = 0

Combine like terms: -7x + 2x = -5x
-3(7 + -5x + -2x2) = 0
(7 * -3 + -5x * -3 + -2x2 * -3) = 0
(-21 + 15x + 6x2) = 0

Solving
-21 + 15x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-7 + 5x + 2x2) = 0

Factor a trinomial.
3((-7 + -2x)(1 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-3.5, 1}

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