(-7x*2+4x-3)(-7x+3)=

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Solution for (-7x*2+4x-3)(-7x+3)= equation: 


Simplifying
(-7x * 2 + 4x + -3)(-7x + 3) = 0

Reorder the terms for easier multiplication:
(-7 * 2x + 4x + -3)(-7x + 3) = 0

Multiply -7 * 2
(-14x + 4x + -3)(-7x + 3) = 0

Reorder the terms:
(-3 + -14x + 4x)(-7x + 3) = 0

Combine like terms: -14x + 4x = -10x
(-3 + -10x)(-7x + 3) = 0

Reorder the terms:
(-3 + -10x)(3 + -7x) = 0

Multiply (-3 + -10x) * (3 + -7x)
(-3(3 + -7x) + -10x * (3 + -7x)) = 0
((3 * -3 + -7x * -3) + -10x * (3 + -7x)) = 0
((-9 + 21x) + -10x * (3 + -7x)) = 0
(-9 + 21x + (3 * -10x + -7x * -10x)) = 0
(-9 + 21x + (-30x + 70x2)) = 0

Combine like terms: 21x + -30x = -9x
(-9 + -9x + 70x2) = 0

Solving
-9 + -9x + 70x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -10x)(3 + -7x) = 0


Subproblem 1
Set the factor '(-3 + -10x)' equal to zero and attempt to solve:

Simplifying
-3 + -10x = 0

Solving
-3 + -10x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -10x = 0 + 3

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

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

Divide each side by '-10'.
x = -0.3

Simplifying
x = -0.3

Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Solution
x = {-0.3, 0.4285714286}

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