4x(6x-10)=224

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Solution for 4x(6x-10)=224 equation: 


Simplifying
4x(6x + -10) = 224

Reorder the terms:
4x(-10 + 6x) = 224
(-10 * 4x + 6x * 4x) = 224
(-40x + 24x2) = 224

Solving
-40x + 24x2 = 224

Solving for variable 'x'.

Reorder the terms:
-224 + -40x + 24x2 = 224 + -224

Combine like terms: 224 + -224 = 0
-224 + -40x + 24x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-28 + -5x + 3x2) = 0

Factor a trinomial.
8((-7 + -3x)(4 + -1x)) = 0

Ignore the factor 8.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-2.333333333, 4}

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