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Simplifying
4x * 6x + -10 = 5x * 4x + 8
Reorder the terms for easier multiplication:
4 * 6x * x + -10 = 5x * 4x + 8
Multiply 4 * 6
24x * x + -10 = 5x * 4x + 8
Multiply x * x
24x2 + -10 = 5x * 4x + 8
Reorder the terms:
-10 + 24x2 = 5x * 4x + 8
Reorder the terms for easier multiplication:
-10 + 24x2 = 5 * 4x * x + 8
Multiply 5 * 4
-10 + 24x2 = 20x * x + 8
Multiply x * x
-10 + 24x2 = 20x2 + 8
Reorder the terms:
-10 + 24x2 = 8 + 20x2
Solving
-10 + 24x2 = 8 + 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.
-10 + 24x2 + -20x2 = 8 + 20x2 + -20x2
Combine like terms: 24x2 + -20x2 = 4x2
-10 + 4x2 = 8 + 20x2 + -20x2
Combine like terms: 20x2 + -20x2 = 0
-10 + 4x2 = 8 + 0
-10 + 4x2 = 8
Add '10' to each side of the equation.
-10 + 10 + 4x2 = 8 + 10
Combine like terms: -10 + 10 = 0
0 + 4x2 = 8 + 10
4x2 = 8 + 10
Combine like terms: 8 + 10 = 18
4x2 = 18
Divide each side by '4'.
x2 = 4.5
Simplifying
x2 = 4.5
Take the square root of each side:
x = {-2.121320344, 2.121320344}
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