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

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


Simplifying
4x(3 + -2x) + 5x(x + -1) = 0
(3 * 4x + -2x * 4x) + 5x(x + -1) = 0
(12x + -8x2) + 5x(x + -1) = 0

Reorder the terms:
12x + -8x2 + 5x(-1 + x) = 0
12x + -8x2 + (-1 * 5x + x * 5x) = 0
12x + -8x2 + (-5x + 5x2) = 0

Reorder the terms:
12x + -5x + -8x2 + 5x2 = 0

Combine like terms: 12x + -5x = 7x
7x + -8x2 + 5x2 = 0

Combine like terms: -8x2 + 5x2 = -3x2
7x + -3x2 = 0

Solving
7x + -3x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333

Solution

x = {0, 2.333333333}

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