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Simplifying
4x2 + 5x + -61 = 5(x + 4)
Reorder the terms:
-61 + 5x + 4x2 = 5(x + 4)
Reorder the terms:
-61 + 5x + 4x2 = 5(4 + x)
-61 + 5x + 4x2 = (4 * 5 + x * 5)
-61 + 5x + 4x2 = (20 + 5x)
Add '-5x' to each side of the equation.
-61 + 5x + -5x + 4x2 = 20 + 5x + -5x
Combine like terms: 5x + -5x = 0
-61 + 0 + 4x2 = 20 + 5x + -5x
-61 + 4x2 = 20 + 5x + -5x
Combine like terms: 5x + -5x = 0
-61 + 4x2 = 20 + 0
-61 + 4x2 = 20
Solving
-61 + 4x2 = 20
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '61' to each side of the equation.
-61 + 61 + 4x2 = 20 + 61
Combine like terms: -61 + 61 = 0
0 + 4x2 = 20 + 61
4x2 = 20 + 61
Combine like terms: 20 + 61 = 81
4x2 = 81
Divide each side by '4'.
x2 = 20.25
Simplifying
x2 = 20.25
Take the square root of each side:
x = {-4.5, 4.5}
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