-4x(6-x)=7x

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Solution for -4x(6-x)=7x equation:


Simplifying
-4x(6 + -1x) = 7x
(6 * -4x + -1x * -4x) = 7x
(-24x + 4x2) = 7x

Solving
-24x + 4x2 = 7x

Solving for variable 'x'.

Reorder the terms:
-24x + -7x + 4x2 = 7x + -7x

Combine like terms: -24x + -7x = -31x
-31x + 4x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-31x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-31 + 4x) = 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 '(-31 + 4x)' equal to zero and attempt to solve: Simplifying -31 + 4x = 0 Solving -31 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 4x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = 0 + 31 4x = 0 + 31 Combine like terms: 0 + 31 = 31 4x = 31 Divide each side by '4'. x = 7.75 Simplifying x = 7.75

Solution

x = {0, 7.75}

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