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Simplifying
4x(6x + -10) = 5x(4x + -8)
Reorder the terms:
4x(-10 + 6x) = 5x(4x + -8)
(-10 * 4x + 6x * 4x) = 5x(4x + -8)
(-40x + 24x2) = 5x(4x + -8)
Reorder the terms:
-40x + 24x2 = 5x(-8 + 4x)
-40x + 24x2 = (-8 * 5x + 4x * 5x)
-40x + 24x2 = (-40x + 20x2)
Add '40x' to each side of the equation.
-40x + 40x + 24x2 = -40x + 40x + 20x2
Combine like terms: -40x + 40x = 0
0 + 24x2 = -40x + 40x + 20x2
24x2 = -40x + 40x + 20x2
Combine like terms: -40x + 40x = 0
24x2 = 0 + 20x2
24x2 = 20x2
Solving
24x2 = 20x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20x2' to each side of the equation.
24x2 + -20x2 = 20x2 + -20x2
Combine like terms: 24x2 + -20x2 = 4x2
4x2 = 20x2 + -20x2
Combine like terms: 20x2 + -20x2 = 0
4x2 = 0
Divide each side by '4'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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