(-6x+3)(2x-14)=

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Solution for (-6x+3)(2x-14)= equation:


Simplifying
(-6x + 3)(2x + -14) = 0

Reorder the terms:
(3 + -6x)(2x + -14) = 0

Reorder the terms:
(3 + -6x)(-14 + 2x) = 0

Multiply (3 + -6x) * (-14 + 2x)
(3(-14 + 2x) + -6x * (-14 + 2x)) = 0
((-14 * 3 + 2x * 3) + -6x * (-14 + 2x)) = 0
((-42 + 6x) + -6x * (-14 + 2x)) = 0
(-42 + 6x + (-14 * -6x + 2x * -6x)) = 0
(-42 + 6x + (84x + -12x2)) = 0

Combine like terms: 6x + 84x = 90x
(-42 + 90x + -12x2) = 0

Solving
-42 + 90x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-7 + 15x + -2x2) = 0

Factor a trinomial.
6((-7 + x)(1 + -2x)) = 0

Ignore the factor 6.

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 + -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 = {7, 0.5}

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