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Simplifying h(x) = x2 + 5h(4x) Multiply h * x hx = x2 + 5h(4x) Remove parenthesis around (4x) hx = x2 + 5h * 4x Reorder the terms for easier multiplication: hx = x2 + 5 * 4h * x Multiply 5 * 4 hx = x2 + 20h * x Multiply h * x hx = x2 + 20hx Reorder the terms: hx = 20hx + x2 Solving hx = 20hx + x2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-20hx' to each side of the equation. hx + -20hx = 20hx + -20hx + x2 Combine like terms: hx + -20hx = -19hx -19hx = 20hx + -20hx + x2 Combine like terms: 20hx + -20hx = 0 -19hx = 0 + x2 -19hx = x2 Divide each side by '-19x'. h = -0.05263157895x Simplifying h = -0.05263157895x
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