1-3x(2x-3+5x-2)-(-3)+4(5-3x)=

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Solution for 1-3x(2x-3+5x-2)-(-3)+4(5-3x)= equation: 


Simplifying
1 + -3x(2x + -3 + 5x + -2) + -1(-3) + 4(5 + -3x) = 0

Reorder the terms:
1 + -3x(-3 + -2 + 2x + 5x) + -1(-3) + 4(5 + -3x) = 0

Combine like terms: -3 + -2 = -5
1 + -3x(-5 + 2x + 5x) + -1(-3) + 4(5 + -3x) = 0

Combine like terms: 2x + 5x = 7x
1 + -3x(-5 + 7x) + -1(-3) + 4(5 + -3x) = 0
1 + (-5 * -3x + 7x * -3x) + -1(-3) + 4(5 + -3x) = 0
1 + (15x + -21x2) + -1(-3) + 4(5 + -3x) = 0

Multiply -1 * -3
1 + 15x + -21x2 + 3 + 4(5 + -3x) = 0
1 + 15x + -21x2 + 3 + (5 * 4 + -3x * 4) = 0
1 + 15x + -21x2 + 3 + (20 + -12x) = 0

Reorder the terms:
1 + 3 + 20 + 15x + -12x + -21x2 = 0

Combine like terms: 1 + 3 = 4
4 + 20 + 15x + -12x + -21x2 = 0

Combine like terms: 4 + 20 = 24
24 + 15x + -12x + -21x2 = 0

Combine like terms: 15x + -12x = 3x
24 + 3x + -21x2 = 0

Solving
24 + 3x + -21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + x + -7x2) = 0

Factor a trinomial.
3((8 + -7x)(1 + x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {1.142857143, -1}

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