(x-14)(-3x+10)=0

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Solution for (x-14)(-3x+10)=0 equation: 


Simplifying
(x + -14)(-3x + 10) = 0

Reorder the terms:
(-14 + x)(-3x + 10) = 0

Reorder the terms:
(-14 + x)(10 + -3x) = 0

Multiply (-14 + x) * (10 + -3x)
(-14(10 + -3x) + x(10 + -3x)) = 0
((10 * -14 + -3x * -14) + x(10 + -3x)) = 0
((-140 + 42x) + x(10 + -3x)) = 0
(-140 + 42x + (10 * x + -3x * x)) = 0
(-140 + 42x + (10x + -3x2)) = 0

Combine like terms: 42x + 10x = 52x
(-140 + 52x + -3x2) = 0

Solving
-140 + 52x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-14 + x)(10 + -3x) = 0


Subproblem 1
Set the factor '(-14 + x)' equal to zero and attempt to solve:

Simplifying
-14 + x = 0

Solving
-14 + x = 0

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

Add '14' to each side of the equation.
-14 + 14 + x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + x = 0 + 14
x = 0 + 14

Combine like terms: 0 + 14 = 14
x = 14

Simplifying
x = 14

Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 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 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {14, 3.333333333}

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