5x(2x-3)-(3x-8)=

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Solution for 5x(2x-3)-(3x-8)= equation: 


Simplifying
5x(2x + -3) + -1(3x + -8) = 0

Reorder the terms:
5x(-3 + 2x) + -1(3x + -8) = 0
(-3 * 5x + 2x * 5x) + -1(3x + -8) = 0
(-15x + 10x2) + -1(3x + -8) = 0

Reorder the terms:
-15x + 10x2 + -1(-8 + 3x) = 0
-15x + 10x2 + (-8 * -1 + 3x * -1) = 0
-15x + 10x2 + (8 + -3x) = 0

Reorder the terms:
8 + -15x + -3x + 10x2 = 0

Combine like terms: -15x + -3x = -18x
8 + -18x + 10x2 = 0

Solving
8 + -18x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -9x + 5x2) = 0

Factor a trinomial.
2((4 + -5x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0.8, 1}

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