4x(x-3)=7x

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Solution for 4x(x-3)=7x equation:


Simplifying
4x(x + -3) = 7x

Reorder the terms:
4x(-3 + x) = 7x
(-3 * 4x + x * 4x) = 7x
(-12x + 4x2) = 7x

Solving
-12x + 4x2 = 7x

Solving for variable 'x'.

Reorder the terms:
-12x + -7x + 4x2 = 7x + -7x

Combine like terms: -12x + -7x = -19x
-19x + 4x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-19x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-19 + 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 '(-19 + 4x)' equal to zero and attempt to solve: Simplifying -19 + 4x = 0 Solving -19 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 4x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 4x = 0 + 19 4x = 0 + 19 Combine like terms: 0 + 19 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75

Solution

x = {0, 4.75}

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