1435=(3x-10)(x-10)(5)

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Solution for 1435=(3x-10)(x-10)(5) equation: 


Simplifying
1435 = (3x + -10)(x + -10)(5)

Reorder the terms:
1435 = (-10 + 3x)(x + -10)(5)

Reorder the terms:
1435 = (-10 + 3x)(-10 + x)(5)

Reorder the terms for easier multiplication:
1435 = 5(-10 + 3x)(-10 + x)

Multiply (-10 + 3x) * (-10 + x)
1435 = 5(-10(-10 + x) + 3x * (-10 + x))
1435 = 5((-10 * -10 + x * -10) + 3x * (-10 + x))
1435 = 5((100 + -10x) + 3x * (-10 + x))
1435 = 5(100 + -10x + (-10 * 3x + x * 3x))
1435 = 5(100 + -10x + (-30x + 3x2))

Combine like terms: -10x + -30x = -40x
1435 = 5(100 + -40x + 3x2)
1435 = (100 * 5 + -40x * 5 + 3x2 * 5)
1435 = (500 + -200x + 15x2)

Solving
1435 = 500 + -200x + 15x2

Solving for variable 'x'.

Combine like terms: 1435 + -500 = 935
935 + 200x + -15x2 = 500 + -200x + 15x2 + -500 + 200x + -15x2

Reorder the terms:
935 + 200x + -15x2 = 500 + -500 + -200x + 200x + 15x2 + -15x2

Combine like terms: 500 + -500 = 0
935 + 200x + -15x2 = 0 + -200x + 200x + 15x2 + -15x2
935 + 200x + -15x2 = -200x + 200x + 15x2 + -15x2

Combine like terms: -200x + 200x = 0
935 + 200x + -15x2 = 0 + 15x2 + -15x2
935 + 200x + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
935 + 200x + -15x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(187 + 40x + -3x2) = 0

Factor a trinomial.
5((17 + -1x)(11 + 3x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

Subproblem 2
Set the factor '(11 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667
Solution
x = {17, -3.666666667}

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