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Simplifying 0.0695 = (1.5x)(0.5x) Remove parenthesis around (1.5x) 0.0695 = 1.5x(0.5x) Remove parenthesis around (0.5x) 0.0695 = 1.5x * 0.5x Reorder the terms for easier multiplication: 0.0695 = 1.5 * 0.5x * x Multiply 1.5 * 0.5 0.0695 = 0.75x * x Multiply x * x 0.0695 = 0.75x2 Solving 0.0695 = 0.75x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x2' to each side of the equation. 0.0695 + -0.75x2 = 0.75x2 + -0.75x2 Combine like terms: 0.75x2 + -0.75x2 = 0.00 0.0695 + -0.75x2 = 0.00 Add '-0.0695' to each side of the equation. 0.0695 + -0.0695 + -0.75x2 = 0.00 + -0.0695 Combine like terms: 0.0695 + -0.0695 = 0.0000 0.0000 + -0.75x2 = 0.00 + -0.0695 -0.75x2 = 0.00 + -0.0695 Combine like terms: 0.00 + -0.0695 = -0.0695 -0.75x2 = -0.0695 Divide each side by '-0.75'. x2 = 0.09266666667 Simplifying x2 = 0.09266666667 Take the square root of each side: x = {-0.304412002, 0.304412002}
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